57144125736 has 96 divisors (see below), whose sum is σ = 157502592000. Its totient is φ = 18711620352.

The previous prime is 57144125713. The next prime is 57144125741. The reversal of 57144125736 is 63752144175.

57144125736 is a `hidden beast` number, since 5 + 71 + 4 + 4 + 1 + 2 + 573 + 6 = 666.

It is a super-2 number, since 2×57144125736² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 57144125691 and 57144125700.

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, 7060380 + ... + 7068468.

It is an arithmetic number, because the mean of its divisors is an integer number (1640652000).

Almost surely, 2^57144125736 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 57144125736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78751296000).

57144125736 is an abundant number, since it is smaller than the sum of its proper divisors (100358466264).

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

57144125736 is a wasteful number, since it uses less digits than its factorization.

57144125736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9823 (or 9816 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The spelling of 57144125736 in words is "fifty-seven billion, one hundred forty-four million, one hundred twenty-five thousand, seven hundred thirty-six".