365088121056 has 72 divisors (see below), whose sum is σ = 1041888196440. Its totient is φ = 121265991936.

The previous prime is 365088121051. The next prime is 365088121067. The reversal of 365088121056 is 650121880563.

365088121056 is a `hidden beast` number, since 3 + 6 + 508 + 81 + 2 + 10 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×365088121056² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (365088121051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2158191 + ... + 2321198.

It is an arithmetic number, because the mean of its divisors is an integer number (14470669395).

Almost surely, 2^365088121056 is an apocalyptic number.

365088121056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

365088121056 is an abundant number, since it is smaller than the sum of its proper divisors (676800075384).

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

365088121056 is a wasteful number, since it uses less digits than its factorization.

365088121056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4479688 (or 4479677 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 365088121056 in words is "three hundred sixty-five billion, eighty-eight million, one hundred twenty-one thousand, fifty-six".