57055078080 has 1344 divisors, whose sum is σ = 273622422528. Its totient is φ = 10928701440.

The previous prime is 57055078061. The next prime is 57055078117. The reversal of 57055078080 is 8087055075.

It is a happy number.

57055078080 is a `hidden beast` number, since 570 + 5 + 5 + 0 + 78 + 0 + 8 + 0 = 666.

57055078080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 77837394 + ... + 77838126.

It is an arithmetic number, because the mean of its divisors is an integer number (203588112).

Almost surely, 2^57055078080 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 57055078080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136811211264).

57055078080 is an abundant number, since it is smaller than the sum of its proper divisors (216567344448).

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

57055078080 is a wasteful number, since it uses less digits than its factorization.

57055078080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 392000, while the sum is 45.

The spelling of 57055078080 in words is "fifty-seven billion, fifty-five million, seventy-eight thousand, eighty".