155600413696 has 176 divisors, whose sum is σ = 391742479744. Its totient is φ = 60123119616.

The previous prime is 155600413667. The next prime is 155600413723. The reversal of 155600413696 is 696314006551.

155600413696 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×155600413696² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3987496 + ... + 4026328.

It is an arithmetic number, because the mean of its divisors is an integer number (2225809544).

Almost surely, 2^155600413696 is an apocalyptic number.

155600413696 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 155600413696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195871239872).

155600413696 is an abundant number, since it is smaller than the sum of its proper divisors (236142066048).

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

155600413696 is a wasteful number, since it uses less digits than its factorization.

155600413696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38916 (or 38898 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 46.

The spelling of 155600413696 in words is "one hundred fifty-five billion, six hundred million, four hundred thirteen thousand, six hundred ninety-six".