57462311694000 has 320 divisors, whose sum is σ = 204684583633920. Its totient is φ = 13794873241600.

The previous prime is 57462311693981. The next prime is 57462311694133. The reversal of 57462311694000 is 49611326475.

57462311694000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9900870 + ... + 14592869.

It is an arithmetic number, because the mean of its divisors is an integer number (639639323856).

Almost surely, 2^{57462311694000} is an apocalyptic number.

57462311694000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57462311694000 is an abundant number, since it is smaller than the sum of its proper divisors (147222271939920).

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

57462311694000 is a wasteful number, since it uses less digits than its factorization.

57462311694000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24493805 (or 24493789 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 57462311694000 in words is "fifty-seven trillion, four hundred sixty-two billion, three hundred eleven million, six hundred ninety-four thousand".