56207707280400 has 120 divisors (see below), whose sum is σ = 193902177938560. Its totient is φ = 13835743326720.

The previous prime is 56207707280381. The next prime is 56207707280407. The reversal of 56207707280400 is 408270770265.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 56207707280400.

It is not an unprimeable number, because it can be changed into a prime (56207707280407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1801513480 + ... + 1801544679.

Almost surely, 2^{56207707280400} is an apocalyptic number.

56207707280400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56207707280400 is an abundant number, since it is smaller than the sum of its proper divisors (137694470658160).

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

56207707280400 is a wasteful number, since it uses less digits than its factorization.

56207707280400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3603058193 (or 3603058182 counting only the distinct ones).

The product of its (nonzero) digits is 1317120, while the sum is 48.

The spelling of 56207707280400 in words is "fifty-six trillion, two hundred seven billion, seven hundred seven million, two hundred eighty thousand, four hundred".