57260286720 has 1944 divisors, whose sum is σ = 273410255664. Its totient is φ = 11370627072.

The previous prime is 57260286683. The next prime is 57260286773. The reversal of 57260286720 is 2768206275.

57260286720 is a `hidden beast` number, since 572 + 6 + 0 + 2 + 8 + 6 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3368252152 + ... + 3368252168.

Almost surely, 2^57260286720 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 57260286720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136705127832).

57260286720 is an abundant number, since it is smaller than the sum of its proper divisors (216149968944).

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

57260286720 is a wasteful number, since it uses less digits than its factorization.

57260286720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 57260286720 in words is "fifty-seven billion, two hundred sixty million, two hundred eighty-six thousand, seven hundred twenty".