57140428800 has 1080 divisors, whose sum is σ = 239934653616. Its totient is φ = 11890851840.

The previous prime is 57140428729. The next prime is 57140428811. The reversal of 57140428800 is 882404175.

It is a happy number.

It is a super-3 number, since 3×57140428800³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 782745564 + ... + 782745636.

Almost surely, 2^57140428800 is an apocalyptic number.

57140428800 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 57140428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119967326808).

57140428800 is an abundant number, since it is smaller than the sum of its proper divisors (182794224816).

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

57140428800 is a wasteful number, since it uses less digits than its factorization.

57140428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The spelling of 57140428800 in words is "fifty-seven billion, one hundred forty million, four hundred twenty-eight thousand, eight hundred".