152405084272896 has 1296 divisors, whose sum is σ = 571019763525120. Its totient is φ = 39959811440640.

The previous prime is 152405084272873. The next prime is 152405084272919. The reversal of 152405084272896 is 698272480504251.

152405084272896 is a `hidden beast` number, since 1 + 5 + 2 + 4 + 0 + 508 + 42 + 7 + 2 + 89 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (152405084272873) and next prime (152405084272919).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9902213361 + ... + 9902228751.

Almost surely, 2^{152405084272896} is an apocalyptic number.

152405084272896 is a gapful number since it is divisible by the number (16) 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 152405084272896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285509881762560).

152405084272896 is an abundant number, since it is smaller than the sum of its proper divisors (418614679252224).

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

152405084272896 is a wasteful number, since it uses less digits than its factorization.

152405084272896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15629 (or 15589 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 152405084272896 in words is "one hundred fifty-two trillion, four hundred five billion, eighty-four million, two hundred seventy-two thousand, eight hundred ninety-six".