57094963200 has 594 divisors, whose sum is σ = 224810446497. Its totient is φ = 13841203200.

The previous prime is 57094963171. The next prime is 57094963229. The reversal of 57094963200 is 236949075.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

57094963200 is a `hidden beast` number, since 5 + 7 + 0 + 9 + 4 + 9 + 632 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (57094963171) and next prime (57094963229).

It can be written as a sum of positive squares in 2 ways, for example, as 55953063936 + 1141899264 = 236544^2 + 33792^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=168960.

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 26 ways as a sum of consecutive naturals, for example, 5190451195 + ... + 5190451205.

Almost surely, 2^57094963200 is an apocalyptic number.

57094963200 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 57094963200

57094963200 is an abundant number, since it is smaller than the sum of its proper divisors (167715483297).

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

57094963200 is an frugal number, since it uses more digits than its factorization.

57094963200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 57094963200 in words is "fifty-seven billion, ninety-four million, nine hundred sixty-three thousand, two hundred".