56661510000 has 400 divisors, whose sum is σ = 194895838368. Its totient is φ = 14131200000.

The previous prime is 56661509981. The next prime is 56661510001. The reversal of 56661510000 is 1516665.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 56661510000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56661510001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 122909770 + ... + 122910230.

Almost surely, 2^56661510000 is an apocalyptic number.

56661510000 is a gapful number since it is divisible by the number (50) 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 56661510000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97447919184).

56661510000 is an abundant number, since it is smaller than the sum of its proper divisors (138234328368).

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

56661510000 is a wasteful number, since it uses less digits than its factorization.

56661510000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 56661510000 in words is "fifty-six billion, six hundred sixty-one million, five hundred ten thousand".