57881741400 has 480 divisors, whose sum is σ = 231835206240. Its totient is φ = 13110128640.

The previous prime is 57881741383. The next prime is 57881741429. The reversal of 57881741400 is 414718875.

57881741400 is a `hidden beast` number, since 5 + 78 + 8 + 174 + 1 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 12811942 + ... + 12816458.

It is an arithmetic number, because the mean of its divisors is an integer number (482990013).

Almost surely, 2^57881741400 is an apocalyptic number.

57881741400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57881741400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115917603120).

57881741400 is an abundant number, since it is smaller than the sum of its proper divisors (173953464840).

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

57881741400 is a wasteful number, since it uses less digits than its factorization.

57881741400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4665 (or 4647 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 57881741400 in words is "fifty-seven billion, eight hundred eighty-one million, seven hundred forty-one thousand, four hundred".