156425012265600 has 6144 divisors, whose sum is σ = 704434913280000. Its totient is φ = 33538572288000.

The previous prime is 156425012265593. The next prime is 156425012265649. The reversal of 156425012265600 is 6562210524651.

156425012265600 is a `hidden beast` number, since 1 + 5 + 6 + 4 + 2 + 5 + 0 + 12 + 26 + 5 + 600 = 666.

It is a super-2 number, since 2×156425012265600² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1980063446361 + ... + 1980063446439.

It is an arithmetic number, because the mean of its divisors is an integer number (114654120000).

Almost surely, 2^{156425012265600} is an apocalyptic number.

156425012265600 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 156425012265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352217456640000).

156425012265600 is an abundant number, since it is smaller than the sum of its proper divisors (548009901014400).

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

156425012265600 is a wasteful number, since it uses less digits than its factorization.

156425012265600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 156425012265600 in words is "one hundred fifty-six trillion, four hundred twenty-five billion, twelve million, two hundred sixty-five thousand, six hundred".