57454870855680 has 544 divisors, whose sum is σ = 206807011446720. Its totient is φ = 15321107791872.

The previous prime is 57454870855667. The next prime is 57454870855703. The reversal of 57454870855680 is 8655807845475.

57454870855680 is a `hidden beast` number, since 5 + 7 + 4 + 5 + 487 + 0 + 85 + 5 + 68 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 57454870855599 and 57454870855608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 716596074 + ... + 716676246.

Almost surely, 2^{57454870855680} 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 57454870855680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103403505723360).

57454870855680 is an abundant number, since it is smaller than the sum of its proper divisors (149352140591040).

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

57454870855680 is an frugal number, since it uses more digits than its factorization.

57454870855680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80231 (or 80183 counting only the distinct ones).

The product of its (nonzero) digits is 1505280000, while the sum is 72.

The spelling of 57454870855680 in words is "fifty-seven trillion, four hundred fifty-four billion, eight hundred seventy million, eight hundred fifty-five thousand, six hundred eighty".