2057878413360 has 1920 divisors, whose sum is σ = 9151414272000. Its totient is φ = 410530498560.

The previous prime is 2057878413359. The next prime is 2057878413397. The reversal of 2057878413360 is 633148787502.

It is a happy number.

2057878413360 is a `hidden beast` number, since 2 + 0 + 578 + 7 + 8 + 4 + 1 + 3 + 3 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2057878413297 and 2057878413306.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9228154209 + ... + 9228154431.

It is an arithmetic number, because the mean of its divisors is an integer number (4766361600).

Almost surely, 2^{2057878413360} is an apocalyptic number.

2057878413360 is a gapful number since it is divisible by the number (20) 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 2057878413360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4575707136000).

2057878413360 is an abundant number, since it is smaller than the sum of its proper divisors (7093535858640).

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

2057878413360 is a wasteful number, since it uses less digits than its factorization.

2057878413360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 2057878413360 in words is "two trillion, fifty-seven billion, eight hundred seventy-eight million, four hundred thirteen thousand, three hundred sixty".