56613457320000 has 1680 divisors, whose sum is σ = 222891661586880. Its totient is φ = 12636309504000.

The previous prime is 56613457319989. The next prime is 56613457320011. The reversal of 56613457320000 is 2375431665.

It is an interprime number because it is at equal distance from previous prime (56613457319989) and next prime (56613457320011).

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 121227959767 + ... + 121227960233.

Almost surely, 2^{56613457320000} is an apocalyptic number.

56613457320000 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 56613457320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111445830793440).

56613457320000 is an abundant number, since it is smaller than the sum of its proper divisors (166278204266880).

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

56613457320000 is a wasteful number, since it uses less digits than its factorization.

56613457320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 42.

The spelling of 56613457320000 in words is "fifty-six trillion, six hundred thirteen billion, four hundred fifty-seven million, three hundred twenty thousand".