57144036096 has 864 divisors, whose sum is σ = 211123680768. Its totient is φ = 14491975680.

The previous prime is 57144036077. The next prime is 57144036121. The reversal of 57144036096 is 69063044175.

57144036096 is a `hidden beast` number, since 571 + 4 + 40 + 36 + 0 + 9 + 6 = 666.

It is a super-2 number, since 2×57144036096² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 436213951 + ... + 436214081.

It is an arithmetic number, because the mean of its divisors is an integer number (244356112).

Almost surely, 2^57144036096 is an apocalyptic number.

57144036096 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57144036096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105561840384).

57144036096 is an abundant number, since it is smaller than the sum of its proper divisors (153979644672).

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

57144036096 is a wasteful number, since it uses less digits than its factorization.

57144036096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 57144036096 in words is "fifty-seven billion, one hundred forty-four million, thirty-six thousand, ninety-six".