152659993559040 has 2688 divisors, whose sum is σ = 643600542412800. Its totient is φ = 33919504220160.

The previous prime is 152659993558997. The next prime is 152659993559041. The reversal of 152659993559040 is 40955399956251.

It is a happy number.

152659993559040 is a `hidden beast` number, since 1 + 5 + 2 + 65 + 9 + 9 + 9 + 3 + 559 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×152659993559040² (a number of 29 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 152659993559040.

It is not an unprimeable number, because it can be changed into a prime (152659993559041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1932404981721 + ... + 1932404981799.

It is an arithmetic number, because the mean of its divisors is an integer number (239434725600).

Almost surely, 2^{152659993559040} is an apocalyptic number.

152659993559040 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 152659993559040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321800271206400).

152659993559040 is an abundant number, since it is smaller than the sum of its proper divisors (490940548853760).

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

152659993559040 is an frugal number, since it uses more digits than its factorization.

152659993559040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 590490000, while the sum is 72.

The spelling of 152659993559040 in words is "one hundred fifty-two trillion, six hundred fifty-nine billion, nine hundred ninety-three million, five hundred fifty-nine thousand, forty".