57078861840 has 640 divisors, whose sum is σ = 263983104000. Its totient is φ = 10947778560.

The previous prime is 57078861811. The next prime is 57078861857. The reversal of 57078861840 is 4816887075.

It is a happy number.

57078861840 is a `hidden beast` number, since 570 + 7 + 8 + 8 + 61 + 8 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2148961 + ... + 2175359.

It is an arithmetic number, because the mean of its divisors is an integer number (412473600).

Almost surely, 2^57078861840 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 57078861840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131991552000).

57078861840 is an abundant number, since it is smaller than the sum of its proper divisors (206904242160).

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

57078861840 is a wasteful number, since it uses less digits than its factorization.

57078861840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26452 (or 26440 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 57078861840 in words is "fifty-seven billion, seventy-eight million, eight hundred sixty-one thousand, eight hundred forty".