57966226512480 has 1920 divisors, whose sum is σ = 247742709096960. Its totient is φ = 12576247971840.

The previous prime is 57966226512427. The next prime is 57966226512511. The reversal of 57966226512480 is 8421562266975.

57966226512480 is a `hidden beast` number, since 5 + 7 + 9 + 66 + 22 + 65 + 12 + 480 = 666.

It is a super-2 number, since 2×57966226512480² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 319 ways as a sum of consecutive naturals, for example, 11077051944 + ... + 11077057176.

It is an arithmetic number, because the mean of its divisors is an integer number (129032660988).

Almost surely, 2^{57966226512480} 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 57966226512480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123871354548480).

57966226512480 is an abundant number, since it is smaller than the sum of its proper divisors (189776482584480).

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

57966226512480 is a wasteful number, since it uses less digits than its factorization.

57966226512480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5466 (or 5449 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 57966226512480 in words is "fifty-seven trillion, nine hundred sixty-six billion, two hundred twenty-six million, five hundred twelve thousand, four hundred eighty".