56615715420000 has 960 divisors, whose sum is σ = 205826783145984. Its totient is φ = 13507672320000.

The previous prime is 56615715419959. The next prime is 56615715420023. The reversal of 56615715420000 is 2451751665.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11352657507 + ... + 11352662493.

Almost surely, 2^{56615715420000} is an apocalyptic number.

56615715420000 is a gapful number since it is divisible by the number (50) 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 56615715420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102913391572992).

56615715420000 is an abundant number, since it is smaller than the sum of its proper divisors (149211067725984).

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

56615715420000 is a wasteful number, since it uses less digits than its factorization.

56615715420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5301 (or 5278 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 42.

The spelling of 56615715420000 in words is "fifty-six trillion, six hundred fifteen billion, seven hundred fifteen million, four hundred twenty thousand".