57352869642240 has 1064 divisors, whose sum is σ = 208111857509088. Its totient is φ = 15165932175360.

The previous prime is 57352869642221. The next prime is 57352869642253. The reversal of 57352869642240 is 4224696825375.

57352869642240 is a `hidden beast` number, since 5 + 7 + 3 + 5 + 2 + 86 + 96 + 422 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 184414371685 + ... + 184414371995.

Almost surely, 2^{57352869642240} 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 57352869642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104055928754544).

57352869642240 is an abundant number, since it is smaller than the sum of its proper divisors (150758987866848).

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

57352869642240 is an frugal number, since it uses more digits than its factorization.

57352869642240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 63.

The spelling of 57352869642240 in words is "fifty-seven trillion, three hundred fifty-two billion, eight hundred sixty-nine million, six hundred forty-two thousand, two hundred forty".