57075069960 has 256 divisors, whose sum is σ = 193374720000. Its totient is φ = 14971537152.

The previous prime is 57075069949. The next prime is 57075069973. The reversal of 57075069960 is 6996057075.

57075069960 is a `hidden beast` number, since 5 + 70 + 7 + 506 + 9 + 9 + 60 = 666.

It is a super-2 number, since 2×57075069960² (a number of 22 digits) contains 22 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 = 57075069897 and 57075069906.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26192151 + ... + 26194329.

It is an arithmetic number, because the mean of its divisors is an integer number (755370000).

Almost surely, 2^57075069960 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 57075069960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96687360000).

57075069960 is an abundant number, since it is smaller than the sum of its proper divisors (136299650040).

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

57075069960 is a wasteful number, since it uses less digits than its factorization.

57075069960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2585 (or 2575 counting only the distinct ones).

The product of its (nonzero) digits is 3572100, while the sum is 54.

The spelling of 57075069960 in words is "fifty-seven billion, seventy-five million, sixty-nine thousand, nine hundred sixty".