56370261200880 has 240 divisors, whose sum is σ = 192157100970912. Its totient is φ = 13659902361600.

The previous prime is 56370261200837. The next prime is 56370261200893. The reversal of 56370261200880 is 8800216207365.

56370261200880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70489032 + ... + 71284248.

Almost surely, 2^{56370261200880} 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 56370261200880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96078550485456).

56370261200880 is an abundant number, since it is smaller than the sum of its proper divisors (135786839770032).

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

56370261200880 is a wasteful number, since it uses less digits than its factorization.

56370261200880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797696 (or 797679 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 56370261200880 in words is "fifty-six trillion, three hundred seventy billion, two hundred sixty-one million, two hundred thousand, eight hundred eighty".