57849422400 has 2520 divisors, whose sum is σ = 291954313728. Its totient is φ = 10948608000.

The previous prime is 57849422363. The next prime is 57849422413. The reversal of 57849422400 is 422494875.

It is a tau number, because it is divible by the number of its divisors (2520).

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

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 1866110385 + ... + 1866110415.

Almost surely, 2^57849422400 is an apocalyptic number.

57849422400 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 57849422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145977156864).

57849422400 is an abundant number, since it is smaller than the sum of its proper divisors (234104891328).

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

57849422400 is a wasteful number, since it uses less digits than its factorization.

57849422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

It can be divided in two parts, 57849 and 422400, that added together give a square (480249 = 693²).

The spelling of 57849422400 in words is "fifty-seven billion, eight hundred forty-nine million, four hundred twenty-two thousand, four hundred".