57041012736 has 288 divisors, whose sum is σ = 173033340480. Its totient is φ = 18068176896.

The previous prime is 57041012723. The next prime is 57041012779. The reversal of 57041012736 is 63721014075.

It is a happy number.

57041012736 is a `hidden beast` number, since 570 + 4 + 1 + 0 + 12 + 73 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 57041012736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83515051 + ... + 83515733.

It is an arithmetic number, because the mean of its divisors is an integer number (600810210).

Almost surely, 2^57041012736 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 57041012736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86516670240).

57041012736 is an abundant number, since it is smaller than the sum of its proper divisors (115992327744).

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

57041012736 is a wasteful number, since it uses less digits than its factorization.

57041012736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 57041012736 in words is "fifty-seven billion, forty-one million, twelve thousand, seven hundred thirty-six".