56677124133564 has 96 divisors (see below), whose sum is σ = 148242353280000. Its totient is φ = 16702337583360.

The previous prime is 56677124133557. The next prime is 56677124133613. The reversal of 56677124133564 is 46533142177665.

It is a super-2 number, since 2×56677124133564² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 56677124133498 and 56677124133507.

It is a congruent number.

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, 6860502 + ... + 12665730.

It is an arithmetic number, because the mean of its divisors is an integer number (1544191180000).

Almost surely, 2^{56677124133564} 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 56677124133564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74121176640000).

56677124133564 is an abundant number, since it is smaller than the sum of its proper divisors (91565229146436).

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

56677124133564 is a wasteful number, since it uses less digits than its factorization.

56677124133564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5807283 (or 5807281 counting only the distinct ones).

The product of its digits is 76204800, while the sum is 60.

The spelling of 56677124133564 in words is "fifty-six trillion, six hundred seventy-seven billion, one hundred twenty-four million, one hundred thirty-three thousand, five hundred sixty-four".