2057629426560 has 256 divisors, whose sum is σ = 7290978523200. Its totient is φ = 548434575360.

The previous prime is 2057629426553. The next prime is 2057629426603. The reversal of 2057629426560 is 656249267502.

2057629426560 is a `hidden beast` number, since 2 + 0 + 5 + 7 + 629 + 4 + 2 + 6 + 5 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2057629426497 and 2057629426506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36899500 + ... + 36955220.

Almost surely, 2^{2057629426560} is an apocalyptic number.

2057629426560 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 2057629426560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3645489261600).

2057629426560 is an abundant number, since it is smaller than the sum of its proper divisors (5233349096640).

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

2057629426560 is a wasteful number, since it uses less digits than its factorization.

2057629426560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57886 (or 57868 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 2057629426560 in words is "two trillion, fifty-seven billion, six hundred twenty-nine million, four hundred twenty-six thousand, five hundred sixty".