57061626804 has 576 divisors, whose sum is σ = 194830272000. Its totient is φ = 13948526592.

The previous prime is 57061626763. The next prime is 57061626851. The reversal of 57061626804 is 40862616075.

57061626804 is a `hidden beast` number, since 5 + 7 + 0 + 616 + 26 + 8 + 0 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 57061626804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 161647492 + ... + 161647844.

It is an arithmetic number, because the mean of its divisors is an integer number (338247000).

Almost surely, 2^57061626804 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 57061626804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97415136000).

57061626804 is an abundant number, since it is smaller than the sum of its proper divisors (137768645196).

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

57061626804 is a wasteful number, since it uses less digits than its factorization.

57061626804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

It can be divided in two parts, 57061 and 626804, that added together give a triangular number (683865 = T₁₁₆₉).

The spelling of 57061626804 in words is "fifty-seven billion, sixty-one million, six hundred twenty-six thousand, eight hundred four".