152261620560 has 320 divisors, whose sum is σ = 613320744960. Its totient is φ = 33993146880.

The previous prime is 152261620559. The next prime is 152261620627. The reversal of 152261620560 is 65026162251.

152261620560 is a `hidden beast` number, since 1 + 5 + 2 + 26 + 1 + 620 + 5 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 533065 + ... + 767255.

It is an arithmetic number, because the mean of its divisors is an integer number (1916627328).

Almost surely, 2^152261620560 is an apocalyptic number.

152261620560 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 152261620560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306660372480).

152261620560 is an abundant number, since it is smaller than the sum of its proper divisors (461059124400).

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

152261620560 is a wasteful number, since it uses less digits than its factorization.

152261620560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234263 (or 234251 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 152261620560 in words is "one hundred fifty-two billion, two hundred sixty-one million, six hundred twenty thousand, five hundred sixty".