57861198720 has 512 divisors, whose sum is σ = 221671296000. Its totient is φ = 14179442688.

The previous prime is 57861198713. The next prime is 57861198761. The reversal of 57861198720 is 2789116875.

57861198720 is a `hidden beast` number, since 578 + 61 + 1 + 9 + 8 + 7 + 2 + 0 = 666.

57861198720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68964061 + ... + 68964899.

It is an arithmetic number, because the mean of its divisors is an integer number (432951750).

Almost surely, 2^57861198720 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 57861198720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110835648000).

57861198720 is an abundant number, since it is smaller than the sum of its proper divisors (163810097280).

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

57861198720 is a wasteful number, since it uses less digits than its factorization.

57861198720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 54.

The spelling of 57861198720 in words is "fifty-seven billion, eight hundred sixty-one million, one hundred ninety-eight thousand, seven hundred twenty".