57465676800 has 1320 divisors, whose sum is σ = 252093847104. Its totient is φ = 12660572160.

The previous prime is 57465676789. The next prime is 57465676811. The reversal of 57465676800 is 867656475.

57465676800 is a `hidden beast` number, since 5 + 74 + 6 + 567 + 6 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (57465676789) and next prime (57465676811).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 537062347 + ... + 537062453.

Almost surely, 2^57465676800 is an apocalyptic number.

57465676800 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 57465676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126046923552).

57465676800 is an abundant number, since it is smaller than the sum of its proper divisors (194628170304).

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

57465676800 is a wasteful number, since it uses less digits than its factorization.

57465676800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 57465676800 in words is "fifty-seven billion, four hundred sixty-five million, six hundred seventy-six thousand, eight hundred".