56772470700000 has 2880 divisors, whose sum is σ = 247818350235456. Its totient is φ = 12590899200000.

The previous prime is 56772470699953. The next prime is 56772470700007. The reversal of 56772470700000 is 707427765.

It is a super-2 number, since 2×56772470700000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56772470700007) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 56043899494 + ... + 56043900506.

Almost surely, 2^{56772470700000} is an apocalyptic number.

56772470700000 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 56772470700000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123909175117728).

56772470700000 is an abundant number, since it is smaller than the sum of its proper divisors (191045879535456).

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

56772470700000 is a wasteful number, since it uses less digits than its factorization.

56772470700000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 576240, while the sum is 45.

The spelling of 56772470700000 in words is "fifty-six trillion, seven hundred seventy-two billion, four hundred seventy million, seven hundred thousand".