57363441408 has 288 divisors, whose sum is σ = 208782336000. Its totient is φ = 15128653824.

The previous prime is 57363441307. The next prime is 57363441413. The reversal of 57363441408 is 80414436375.

57363441408 is a `hidden beast` number, since 5 + 7 + 3 + 634 + 4 + 1 + 4 + 0 + 8 = 666.

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

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 583393 + ... + 674591.

Almost surely, 2^57363441408 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 57363441408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104391168000).

57363441408 is an abundant number, since it is smaller than the sum of its proper divisors (151418894592).

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

57363441408 is a wasteful number, since it uses less digits than its factorization.

57363441408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91244 (or 91224 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 57363441408 in words is "fifty-seven billion, three hundred sixty-three million, four hundred forty-one thousand, four hundred eight".