57735625641 has 32 divisors (see below), whose sum is σ = 86037264000. Its totient is φ = 34319420928.

The previous prime is 57735625609. The next prime is 57735625657. The reversal of 57735625641 is 14652653775.

It is not a de Polignac number, because 57735625641 - 2⁵ = 57735625609 is a prime.

It is a super-4 number, since 4×57735625641⁴ (a number of 44 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (57735625141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267285 + ... + 432333.

It is an arithmetic number, because the mean of its divisors is an integer number (2688664500).

Almost surely, 2^57735625641 is an apocalyptic number.

57735625641 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

57735625641 is a deficient number, since it is larger than the sum of its proper divisors (28301638359).

57735625641 is a wasteful number, since it uses less digits than its factorization.

57735625641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165126 (or 165088 counting only the distinct ones).

The product of its digits is 5292000, while the sum is 51.

The spelling of 57735625641 in words is "fifty-seven billion, seven hundred thirty-five million, six hundred twenty-five thousand, six hundred forty-one".