57379325460480 has 1680 divisors, whose sum is σ = 221160656791200. Its totient is φ = 14240993771520.

The previous prime is 57379325460473. The next prime is 57379325460487. The reversal of 57379325460480 is 8406452397375.

It is a happy number.

57379325460480 is a `hidden beast` number, since 5 + 7 + 3 + 7 + 9 + 3 + 2 + 546 + 0 + 4 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (57379325460473) and next prime (57379325460487).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57379325460487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 69215108706 + ... + 69215109534.

It is an arithmetic number, because the mean of its divisors is an integer number (131643248090).

Almost surely, 2^{57379325460480} 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 57379325460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110580328395600).

57379325460480 is an abundant number, since it is smaller than the sum of its proper divisors (163781331330720).

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

57379325460480 is an frugal number, since it uses more digits than its factorization.

57379325460480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 63.

The spelling of 57379325460480 in words is "fifty-seven trillion, three hundred seventy-nine billion, three hundred twenty-five million, four hundred sixty thousand, four hundred eighty".