57801776400 has 135 divisors (see below), whose sum is σ = 200638292101. Its totient is φ = 15409960320.

The previous prime is 57801776359. The next prime is 57801776407. The reversal of 57801776400 is 467710875.

The square root of 57801776400 is 240420.

It is a perfect power (a square), and thus also a powerful number.

57801776400 is a `hidden beast` number, since 5 + 78 + 0 + 177 + 6 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20808639504 + 36993136896 = 144252^2 + 192336^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57801776407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14423197 + ... + 14427203.

Almost surely, 2^57801776400 is an apocalyptic number.

57801776400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

57801776400 is the 240420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57801776400

57801776400 is an abundant number, since it is smaller than the sum of its proper divisors (142836515701).

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

57801776400 is an equidigital number, since it uses as much as digits as its factorization.

57801776400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8038 (or 4017 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 57801776400 in words is "fifty-seven billion, eight hundred one million, seven hundred seventy-six thousand, four hundred".