57100538880 has 1584 divisors, whose sum is σ = 266476167360. Its totient is φ = 11240570880.

The previous prime is 57100538879. The next prime is 57100538881. The reversal of 57100538880 is 8883500175.

It is a happy number.

57100538880 is a `hidden beast` number, since 5 + 7 + 100 + 538 + 8 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (57100538879) and next prime (57100538881).

It is a tau number, because it is divible by the number of its divisors (1584).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57100538881) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3005291511 + ... + 3005291529.

Almost surely, 2^57100538880 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 57100538880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133238083680).

57100538880 is an abundant number, since it is smaller than the sum of its proper divisors (209375628480).

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

57100538880 is a wasteful number, since it uses less digits than its factorization.

57100538880 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 268800, while the sum is 45.

The spelling of 57100538880 in words is "fifty-seven billion, one hundred million, five hundred thirty-eight thousand, eight hundred eighty".