57759346900000 has 72 divisors (see below), whose sum is σ = 142133045910660. Its totient is φ = 23103738720000.

The previous prime is 57759346899977. The next prime is 57759346900067. The reversal of 57759346900000 is 964395775.

It can be written as a sum of positive squares in 6 ways, for example, as 17539042465296 + 40220304434704 = 4187964^2 + 6341948^2 .

It is a super-2 number, since 2×57759346900000² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 288696735 + ... + 288896734.

Almost surely, 2^{57759346900000} is an apocalyptic number.

57759346900000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57759346900000 is an abundant number, since it is smaller than the sum of its proper divisors (84373699010660).

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

57759346900000 is an frugal number, since it uses more digits than its factorization.

57759346900000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577593504 (or 577593476 counting only the distinct ones).

The product of its (nonzero) digits is 7144200, while the sum is 55.

The spelling of 57759346900000 in words is "fifty-seven trillion, seven hundred fifty-nine billion, three hundred forty-six million, nine hundred thousand".