155993160960 has 1152 divisors, whose sum is σ = 687498255360. Its totient is φ = 32614907904.

The previous prime is 155993160959. The next prime is 155993160971. The reversal of 155993160960 is 69061399551.

It is a happy number.

155993160960 is a `hidden beast` number, since 15 + 599 + 31 + 6 + 0 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 155993160897 and 155993160906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 606977152 + ... + 606977408.

It is an arithmetic number, because the mean of its divisors is an integer number (596786680).

Almost surely, 2^155993160960 is an apocalyptic number.

155993160960 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 155993160960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343749127680).

155993160960 is an abundant number, since it is smaller than the sum of its proper divisors (531505094400).

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

155993160960 is a wasteful number, since it uses less digits than its factorization.

155993160960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 1968300, while the sum is 54.

The spelling of 155993160960 in words is "one hundred fifty-five billion, nine hundred ninety-three million, one hundred sixty thousand, nine hundred sixty".