152061162105600 has 1296 divisors, whose sum is σ = 634884018822144. Its totient is φ = 35674048512000.

The previous prime is 152061162105571. The next prime is 152061162105637. The reversal of 152061162105600 is 6501261160251.

152061162105600 is a `hidden beast` number, since 1 + 5 + 2 + 0 + 61 + 16 + 21 + 0 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×152061162105600² (a number of 29 digits) contains 22 as substring.

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

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, 530179834 + ... + 530466566.

Almost surely, 2^{152061162105600} is an apocalyptic number.

152061162105600 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 152061162105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317442009411072).

152061162105600 is an abundant number, since it is smaller than the sum of its proper divisors (482822856716544).

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

152061162105600 is a wasteful number, since it uses less digits than its factorization.

152061162105600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286816 (or 286785 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 152061162105600 in words is "one hundred fifty-two trillion, sixty-one billion, one hundred sixty-two million, one hundred five thousand, six hundred".