56770449279232 has 288 divisors, whose sum is σ = 131221346457600. Its totient is φ = 24277920251904.

The previous prime is 56770449279197. The next prime is 56770449279233. The reversal of 56770449279232 is 23297294407765.

It is a super-2 number, since 2×56770449279232² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (67).

It is not an unprimeable number, because it can be changed into a prime (56770449279233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8487132144 + ... + 8487138832.

It is an arithmetic number, because the mean of its divisors is an integer number (455629675200).

Almost surely, 2^{56770449279232} is an apocalyptic number.

56770449279232 is a gapful number since it is divisible by the number (52) 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 56770449279232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65610673228800).

56770449279232 is an abundant number, since it is smaller than the sum of its proper divisors (74450897178368).

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

56770449279232 is a wasteful number, since it uses less digits than its factorization.

56770449279232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9041 (or 9027 counting only the distinct ones).

The product of its (nonzero) digits is 320060160, while the sum is 67.

The spelling of 56770449279232 in words is "fifty-six trillion, seven hundred seventy billion, four hundred forty-nine million, two hundred seventy-nine thousand, two hundred thirty-two".