57041250859008 has 792 divisors, whose sum is σ = 185319775073160. Its totient is φ = 17544865628160.

The previous prime is 57041250858989. The next prime is 57041250859027. The reversal of 57041250859008 is 80095805214075.

57041250859008 is a `hidden beast` number, since 5 + 7 + 0 + 41 + 2 + 5 + 0 + 8 + 590 + 0 + 8 = 666.

57041250859008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (57041250858989) and next prime (57041250859027).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 65 ways as a sum of consecutive naturals, for example, 20437566093 + ... + 20437568883.

Almost surely, 2^{57041250859008} 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 57041250859008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92659887536580).

57041250859008 is an abundant number, since it is smaller than the sum of its proper divisors (128278524214152).

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

57041250859008 is an frugal number, since it uses more digits than its factorization.

57041250859008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2869 (or 2809 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 54.

The spelling of 57041250859008 in words is "fifty-seven trillion, forty-one billion, two hundred fifty million, eight hundred fifty-nine thousand, eight".