56679061450752 has 2912 divisors, whose sum is σ = 207280098744320. Its totient is φ = 15324547645440.

The previous prime is 56679061450729. The next prime is 56679061450763. The reversal of 56679061450752 is 25705416097665.

It is a happy number.

56679061450752 is a `hidden beast` number, since 5 + 6 + 6 + 7 + 9 + 0 + 614 + 5 + 0 + 7 + 5 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 56679061450752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 845956141023 + ... + 845956141089.

Almost surely, 2^{56679061450752} is an apocalyptic number.

56679061450752 is a gapful number since it is divisible by the number (52) 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 56679061450752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103640049372160).

56679061450752 is an abundant number, since it is smaller than the sum of its proper divisors (150601037293568).

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

56679061450752 is a wasteful number, since it uses less digits than its factorization.

56679061450752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 95256000, while the sum is 63.

The spelling of 56679061450752 in words is "fifty-six trillion, six hundred seventy-nine billion, sixty-one million, four hundred fifty thousand, seven hundred fifty-two".