57722493404160 has 4928 divisors, whose sum is σ = 259807100313600. Its totient is φ = 12135803387904.

The previous prime is 57722493404113. The next prime is 57722493404197. The reversal of 57722493404160 is 6140439422775.

57722493404160 is a `hidden beast` number, since 5 + 7 + 7 + 224 + 9 + 3 + 404 + 1 + 6 + 0 = 666.

It is a super-3 number, since 3×57722493404160³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 57722493404097 and 57722493404106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 454507822017 + ... + 454507822143.

Almost surely, 2^{57722493404160} 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 57722493404160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129903550156800).

57722493404160 is an abundant number, since it is smaller than the sum of its proper divisors (202084606909440).

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

57722493404160 is a wasteful number, since it uses less digits than its factorization.

57722493404160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 57722493404160 in words is "fifty-seven trillion, seven hundred twenty-two billion, four hundred ninety-three million, four hundred four thousand, one hundred sixty".