57486160512000 has 1408 divisors, whose sum is σ = 233925762470400. Its totient is φ = 13807190016000.

The previous prime is 57486160511963. The next prime is 57486160512029. The reversal of 57486160512000 is 21506168475.

57486160512000 is a `hidden beast` number, since 5 + 7 + 4 + 8 + 616 + 0 + 5 + 1 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a super-2 number, since 2×57486160512000² (a number of 28 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 4143737064 + ... + 4143750936.

It is an arithmetic number, because the mean of its divisors is an integer number (166140456300).

Almost surely, 2^{57486160512000} is an apocalyptic number.

57486160512000 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 57486160512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116962881235200).

57486160512000 is an abundant number, since it is smaller than the sum of its proper divisors (176439601958400).

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

57486160512000 is a wasteful number, since it uses less digits than its factorization.

57486160512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14037 (or 14003 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 57486160512000 in words is "fifty-seven trillion, four hundred eighty-six billion, one hundred sixty million, five hundred twelve thousand".