355505613120 has 224 divisors, whose sum is σ = 1433308588800. Its totient is φ = 81258412032.

The previous prime is 355505613119. The next prime is 355505613167. The reversal of 355505613120 is 21316505553.

355505613120 is a `hidden beast` number, since 3 + 5 + 550 + 56 + 1 + 31 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×355505613120² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2878555 + ... + 2999514.

Almost surely, 2^355505613120 is an apocalyptic number.

355505613120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

355505613120 is an abundant number, since it is smaller than the sum of its proper divisors (1077802975680).

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

355505613120 is a wasteful number, since it uses less digits than its factorization.

355505613120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5878102 (or 5878086 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

The spelling of 355505613120 in words is "three hundred fifty-five billion, five hundred five million, six hundred thirteen thousand, one hundred twenty".