57884966948875 has 32 divisors (see below), whose sum is σ = 79248018470400. Its totient is φ = 41862972364000.

The previous prime is 57884966948869. The next prime is 57884966948909.

57884966948875 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 57884966948875 - 2¹³ = 57884966940683 is a prime.

It is a super-2 number, since 2×57884966948875² (a number of 28 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 117346495 + ... + 117838744.

It is an arithmetic number, because the mean of its divisors is an integer number (2476500577200).

Almost surely, 2^{57884966948875} is an apocalyptic number.

57884966948875 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57884966948875 is a deficient number, since it is larger than the sum of its proper divisors (21363051521525).

57884966948875 is a wasteful number, since it uses less digits than its factorization.

57884966948875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235185444 (or 235185434 counting only the distinct ones).

The product of its digits is 234101145600, while the sum is 94.

The spelling of 57884966948875 in words is "fifty-seven trillion, eight hundred eighty-four billion, nine hundred sixty-six million, nine hundred forty-eight thousand, eight hundred seventy-five".