152725687992720 has 480 divisors, whose sum is σ = 541428149059200. Its totient is φ = 38474107232256.

The previous prime is 152725687992719. The next prime is 152725687992721. The reversal of 152725687992720 is 27299786527251.

152725687992720 is a `hidden beast` number, since 1 + 5 + 27 + 256 + 87 + 9 + 9 + 272 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (152725687992719) and next prime (152725687992721).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (152725687992721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25273154019 + ... + 25273160061.

It is an arithmetic number, because the mean of its divisors is an integer number (1127975310540).

Almost surely, 2^{152725687992720} is an apocalyptic number.

152725687992720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152725687992720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270714074529600).

152725687992720 is an abundant number, since it is smaller than the sum of its proper divisors (388702461066480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

152725687992720 is a wasteful number, since it uses less digits than its factorization.

152725687992720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11007 (or 10998 counting only the distinct ones).

The product of its (nonzero) digits is 533433600, while the sum is 72.

The spelling of 152725687992720 in words is "one hundred fifty-two trillion, seven hundred twenty-five billion, six hundred eighty-seven million, nine hundred ninety-two thousand, seven hundred twenty".