152806784256 has 576 divisors, whose sum is σ = 561699048960. Its totient is φ = 39972372480.

The previous prime is 152806784233. The next prime is 152806784261. The reversal of 152806784256 is 652487608251.

152806784256 is a `hidden beast` number, since 1 + 528 + 0 + 6 + 78 + 42 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×152806784256³ (a number of 35 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30431026 + ... + 30436046.

It is an arithmetic number, because the mean of its divisors is an integer number (975171960).

Almost surely, 2^152806784256 is an apocalyptic number.

152806784256 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 152806784256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280849524480).

152806784256 is an abundant number, since it is smaller than the sum of its proper divisors (408892264704).

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

152806784256 is a wasteful number, since it uses less digits than its factorization.

152806784256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5107 (or 5087 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 152806784256 in words is "one hundred fifty-two billion, eight hundred six million, seven hundred eighty-four thousand, two hundred fifty-six".