56701470623616 has 1536 divisors, whose sum is σ = 213286993920000. Its totient is φ = 14057355755520.

The previous prime is 56701470623599. The next prime is 56701470623639. The reversal of 56701470623616 is 61632607410765.

56701470623616 is a `hidden beast` number, since 5 + 6 + 7 + 0 + 1 + 4 + 7 + 0 + 623 + 6 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27808469125 + ... + 27808471163.

It is an arithmetic number, because the mean of its divisors is an integer number (138858720000).

Almost surely, 2^{56701470623616} is an apocalyptic number.

56701470623616 is a gapful number since it is divisible by the number (56) 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 56701470623616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106643496960000).

56701470623616 is an abundant number, since it is smaller than the sum of its proper divisors (156585523296384).

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

56701470623616 is a wasteful number, since it uses less digits than its factorization.

56701470623616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2352 (or 2337 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 56701470623616 in words is "fifty-six trillion, seven hundred one billion, four hundred seventy million, six hundred twenty-three thousand, six hundred sixteen".