57006140352 has 224 divisors, whose sum is σ = 177383066112. Its totient is φ = 15816093696.

The previous prime is 57006140339. The next prime is 57006140381. The reversal of 57006140352 is 25304160075.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 38439003 + ... + 38440485.

It is an arithmetic number, because the mean of its divisors is an integer number (791888688).

Almost surely, 2^57006140352 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 57006140352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88691533056).

57006140352 is an abundant number, since it is smaller than the sum of its proper divisors (120376925760).

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

57006140352 is a wasteful number, since it uses less digits than its factorization.

57006140352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2315 (or 2305 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The spelling of 57006140352 in words is "fifty-seven billion, six million, one hundred forty thousand, three hundred fifty-two".