616415523120 has 80 divisors (see below), whose sum is σ = 2123209031520. Its totient is φ = 164377472256.

The previous prime is 616415523083. The next prime is 616415523223. The reversal of 616415523120 is 21325514616.

616415523120 is a `hidden beast` number, since 6 + 1 + 6 + 4 + 1 + 5 + 523 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

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

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, 142686619 + ... + 142690938.

It is an arithmetic number, because the mean of its divisors is an integer number (26540112894).

Almost surely, 2^616415523120 is an apocalyptic number.

616415523120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

616415523120 is an abundant number, since it is smaller than the sum of its proper divisors (1506793508400).

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

616415523120 is a wasteful number, since it uses less digits than its factorization.

616415523120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285377579 (or 285377567 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 616415523120 in words is "six hundred sixteen billion, four hundred fifteen million, five hundred twenty-three thousand, one hundred twenty".