1057880678400 has 3024 divisors, whose sum is σ = 5121151615944. Its totient is φ = 206108098560.

The previous prime is 1057880678359. The next prime is 1057880678441. The reversal of 1057880678400 is 48760887501.

It is a happy number.

1057880678400 is a `hidden beast` number, since 1 + 0 + 578 + 8 + 0 + 67 + 8 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1057880678359) and next prime (1057880678441).

It can be written as a sum of positive squares in 12 ways, for example, as 103179718656 + 954700959744 = 321216^2 + 977088^2 .

It is a super-2 number, since 2×1057880678400² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 19960012774 + ... + 19960012826.

Almost surely, 2^{1057880678400} is an apocalyptic number.

1057880678400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1057880678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2560575807972).

1057880678400 is an abundant number, since it is smaller than the sum of its proper divisors (4063270937544).

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

1057880678400 is a wasteful number, since it uses less digits than its factorization.

1057880678400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 100 counting only the distinct ones).

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

The spelling of 1057880678400 in words is "one trillion, fifty-seven billion, eight hundred eighty million, six hundred seventy-eight thousand, four hundred".