56958684606720 has 1728 divisors, whose sum is σ = 228365294976000. Its totient is φ = 13502380769280.

The previous prime is 56958684606713. The next prime is 56958684606727. The reversal of 56958684606720 is 2760648685965.

56958684606720 is a `hidden beast` number, since 5 + 6 + 9 + 5 + 8 + 6 + 8 + 4 + 606 + 7 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56958684606713) and next prime (56958684606727).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (56958684606727) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13096959106 + ... + 13096963454.

It is an arithmetic number, because the mean of its divisors is an integer number (132155842000).

Almost surely, 2^{56958684606720} 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 56958684606720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114182647488000).

56958684606720 is an abundant number, since it is smaller than the sum of its proper divisors (171406610369280).

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

56958684606720 is a wasteful number, since it uses less digits than its factorization.

56958684606720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4518 (or 4492 counting only the distinct ones).

The product of its (nonzero) digits is 1045094400, while the sum is 72.

The spelling of 56958684606720 in words is "fifty-six trillion, nine hundred fifty-eight billion, six hundred eighty-four million, six hundred six thousand, seven hundred twenty".