56603733766272 has 1536 divisors, whose sum is σ = 224913557433600. Its totient is φ = 13810233507840.

The previous prime is 56603733766267. The next prime is 56603733766273. The reversal of 56603733766272 is 27266733730665.

56603733766272 is a `hidden beast` number, since 56 + 60 + 37 + 3 + 376 + 62 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (56603733766273) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19538739928 + ... + 19538742824.

Almost surely, 2^{56603733766272} 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 56603733766272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112456778716800).

56603733766272 is an abundant number, since it is smaller than the sum of its proper divisors (168309823667328).

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

56603733766272 is a wasteful number, since it uses less digits than its factorization.

56603733766272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3579 (or 3554 counting only the distinct ones).

The product of its (nonzero) digits is 240045120, while the sum is 63.

The spelling of 56603733766272 in words is "fifty-six trillion, six hundred three billion, seven hundred thirty-three million, seven hundred sixty-six thousand, two hundred seventy-two".