57162250080 has 288 divisors, whose sum is σ = 211028702976. Its totient is φ = 14006587392.

The previous prime is 57162250069. The next prime is 57162250091. The reversal of 57162250080 is 8005226175.

It is a happy number.

57162250080 is a `hidden beast` number, since 5 + 71 + 6 + 2 + 2 + 500 + 80 = 666.

57162250080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (57162250069) and next prime (57162250091).

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4167714 + ... + 4181406.

It is an arithmetic number, because the mean of its divisors is an integer number (732738552).

Almost surely, 2^57162250080 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 57162250080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105514351488).

57162250080 is an abundant number, since it is smaller than the sum of its proper divisors (153866452896).

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

57162250080 is a wasteful number, since it uses less digits than its factorization.

57162250080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13950 (or 13939 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 57162250080 in words is "fifty-seven billion, one hundred sixty-two million, two hundred fifty thousand, eighty".