57263287011840 has 960 divisors, whose sum is σ = 253125187451136. Its totient is φ = 12081912348672.

The previous prime is 57263287011757. The next prime is 57263287011863. The reversal of 57263287011840 is 4811078236275.

57263287011840 is a `hidden beast` number, since 5 + 72 + 6 + 328 + 70 + 1 + 184 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 56103504 + ... + 57115056.

Almost surely, 2^{57263287011840} 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 57263287011840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126562593725568).

57263287011840 is an abundant number, since it is smaller than the sum of its proper divisors (195861900439296).

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

57263287011840 is a wasteful number, since it uses less digits than its factorization.

57263287011840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011611 (or 1011583 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 57263287011840 in words is "fifty-seven trillion, two hundred sixty-three billion, two hundred eighty-seven million, eleven thousand, eight hundred forty".