57105025226000 has 80 divisors (see below), whose sum is σ = 139346740069680. Its totient is φ = 22632450278400.

The previous prime is 57105025225879. The next prime is 57105025226027. The reversal of 57105025226000 is 62252050175.

It can be written as a sum of positive squares in 8 ways, for example, as 15551633925136 + 41553391300864 = 3943556^2 + 6446192^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130756829 + ... + 131192828.

It is an arithmetic number, because the mean of its divisors is an integer number (1741834250871).

Almost surely, 2^{57105025226000} is an apocalyptic number.

57105025226000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57105025226000 is an abundant number, since it is smaller than the sum of its proper divisors (82241714843680).

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

57105025226000 is a wasteful number, since it uses less digits than its factorization.

57105025226000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261949789 (or 261949773 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 35.

Adding to 57105025226000 its reverse (62252050175), we get a palindrome (57167277276175).

The spelling of 57105025226000 in words is "fifty-seven trillion, one hundred five billion, twenty-five million, two hundred twenty-six thousand".