56362977216 has 672 divisors, whose sum is σ = 215574847488. Its totient is φ = 13655900160.

The previous prime is 56362977211. The next prime is 56362977227. The reversal of 56362977216 is 61277926365.

56362977216 is a `hidden beast` number, since 5 + 6 + 3 + 629 + 7 + 7 + 2 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×56362977216² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56362977211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38315361 + ... + 38316831.

It is an arithmetic number, because the mean of its divisors is an integer number (320795904).

Almost surely, 2^56362977216 is an apocalyptic number.

56362977216 is a gapful number since it is divisible by the number (56) 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 56362977216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107787423744).

56362977216 is an abundant number, since it is smaller than the sum of its proper divisors (159211870272).

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

56362977216 is a wasteful number, since it uses less digits than its factorization.

56362977216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569 (or 1556 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The spelling of 56362977216 in words is "fifty-six billion, three hundred sixty-two million, nine hundred seventy-seven thousand, two hundred sixteen".