152800007097672 has 640 divisors, whose sum is σ = 492251947545600. Its totient is φ = 43831919577600.

The previous prime is 152800007097613. The next prime is 152800007097691. The reversal of 152800007097672 is 276790700008251.

It is a happy number.

It is a super-2 number, since 2×152800007097672² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 6191988598 + ... + 6192013274.

It is an arithmetic number, because the mean of its divisors is an integer number (769143668040).

Almost surely, 2^{152800007097672} is an apocalyptic number.

152800007097672 is a gapful number since it is divisible by the number (12) 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 152800007097672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246125973772800).

152800007097672 is an abundant number, since it is smaller than the sum of its proper divisors (339451940447928).

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

152800007097672 is a wasteful number, since it uses less digits than its factorization.

152800007097672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25119 (or 25106 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 152800007097672 in words is "one hundred fifty-two trillion, eight hundred billion, seven million, ninety-seven thousand, six hundred seventy-two".