56679168969504 has 576 divisors, whose sum is σ = 179066528726400. Its totient is φ = 17652898529280.

The previous prime is 56679168969497. The next prime is 56679168969569. The reversal of 56679168969504 is 40596986197665.

56679168969504 is a `hidden beast` number, since 5 + 6 + 6 + 7 + 9 + 16 + 8 + 96 + 9 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2811317184 + ... + 2811337344.

It is an arithmetic number, because the mean of its divisors is an integer number (310879390150).

Almost surely, 2^{56679168969504} is an apocalyptic number.

56679168969504 is a gapful number since it is divisible by the number (54) 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 56679168969504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89533264363200).

56679168969504 is an abundant number, since it is smaller than the sum of its proper divisors (122387359756896).

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

56679168969504 is a wasteful number, since it uses less digits than its factorization.

56679168969504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20365 (or 20322 counting only the distinct ones).

The product of its (nonzero) digits is 5290790400, while the sum is 81.

The spelling of 56679168969504 in words is "fifty-six trillion, six hundred seventy-nine billion, one hundred sixty-eight million, nine hundred sixty-nine thousand, five hundred four".