56679001020480 has 224 divisors, whose sum is σ = 182322333043200. Its totient is φ = 14915824754688.

The previous prime is 56679001020457. The next prime is 56679001020527. The reversal of 56679001020480 is 8402010097665.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156732354 + ... + 157093566.

It is an arithmetic number, because the mean of its divisors is an integer number (813938986800).

Almost surely, 2^{56679001020480} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56679001020480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91161166521600).

56679001020480 is an abundant number, since it is smaller than the sum of its proper divisors (125643332022720).

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

56679001020480 is a wasteful number, since it uses less digits than its factorization.

56679001020480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363381 (or 363371 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 56679001020480 in words is "fifty-six trillion, six hundred seventy-nine billion, one million, twenty thousand, four hundred eighty".