57234161600 has 504 divisors, whose sum is σ = 178701374880. Its totient is φ = 17659699200.

The previous prime is 57234161549. The next prime is 57234161651. The reversal of 57234161600 is 616143275.

It is an interprime number because it is at equal distance from previous prime (57234161549) and next prime (57234161651).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 212766266 + ... + 212766534.

It is an arithmetic number, because the mean of its divisors is an integer number (354566220).

Almost surely, 2^57234161600 is an apocalyptic number.

57234161600 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 57234161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89350687440).

57234161600 is an abundant number, since it is smaller than the sum of its proper divisors (121467213280).

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

57234161600 is a wasteful number, since it uses less digits than its factorization.

57234161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The spelling of 57234161600 in words is "fifty-seven billion, two hundred thirty-four million, one hundred sixty-one thousand, six hundred".