57789882226440 has 2304 divisors, whose sum is σ = 259206722611200. Its totient is φ = 11023655731200.

The previous prime is 57789882226387. The next prime is 57789882226441. The reversal of 57789882226440 is 4462228898775.

57789882226440 is a `hidden beast` number, since 5 + 7 + 7 + 89 + 8 + 82 + 2 + 26 + 440 = 666.

It is a super-2 number, since 2×57789882226440² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (57789882226441) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 9860069110 + ... + 9860074970.

It is an arithmetic number, because the mean of its divisors is an integer number (112502917800).

Almost surely, 2^{57789882226440} 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 57789882226440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129603361305600).

57789882226440 is an abundant number, since it is smaller than the sum of its proper divisors (201416840384760).

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

57789882226440 is a wasteful number, since it uses less digits than its factorization.

57789882226440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6028 (or 6014 counting only the distinct ones).

The product of its (nonzero) digits is 867041280, while the sum is 72.

The spelling of 57789882226440 in words is "fifty-seven trillion, seven hundred eighty-nine billion, eight hundred eighty-two million, two hundred twenty-six thousand, four hundred forty".