57081024000 has 2400 divisors, whose sum is σ = 287643964608. Its totient is φ = 10948608000.

The previous prime is 57081023969. The next prime is 57081024001. The reversal of 57081024000 is 42018075.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57081024001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4390847994 + ... + 4390848006.

Almost surely, 2^57081024000 is an apocalyptic number.

57081024000 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 57081024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143821982304).

57081024000 is an abundant number, since it is smaller than the sum of its proper divisors (230562940608).

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

57081024000 is a wasteful number, since it uses less digits than its factorization.

57081024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The spelling of 57081024000 in words is "fifty-seven billion, eighty-one million, twenty-four thousand".