57460002891480 has 256 divisors, whose sum is σ = 218935070208000. Its totient is φ = 13131325684224.

The previous prime is 57460002891469. The next prime is 57460002891539. The reversal of 57460002891480 is 8419820006475.

It is a happy number.

57460002891480 is a `hidden beast` number, since 5 + 7 + 4 + 600 + 0 + 28 + 9 + 1 + 4 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41035062 + ... + 42412218.

It is an arithmetic number, because the mean of its divisors is an integer number (855215118000).

Almost surely, 2^{57460002891480} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57460002891480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109467535104000).

57460002891480 is an abundant number, since it is smaller than the sum of its proper divisors (161475067316520).

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

57460002891480 is a wasteful number, since it uses less digits than its factorization.

57460002891480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382703 (or 1382693 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 57460002891480 in words is "fifty-seven trillion, four hundred sixty billion, two million, eight hundred ninety-one thousand, four hundred eighty".