156696100560 has 540 divisors, whose sum is σ = 581046768588. Its totient is φ = 39289577472.

The previous prime is 156696100559. The next prime is 156696100567. The reversal of 156696100560 is 65001696651.

156696100560 is a `hidden beast` number, since 15 + 6 + 69 + 6 + 10 + 0 + 560 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 39189745296 + 117506355264 = 197964^2 + 342792^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (156696100567) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 151689804 + ... + 151690836.

Almost surely, 2^156696100560 is an apocalyptic number.

156696100560 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 156696100560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290523384294).

156696100560 is an abundant number, since it is smaller than the sum of its proper divisors (424350668028).

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

156696100560 is an equidigital number, since it uses as much as digits as its factorization.

156696100560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 156696100560 in words is "one hundred fifty-six billion, six hundred ninety-six million, one hundred thousand, five hundred sixty".