2057367559680 has 480 divisors, whose sum is σ = 7406237782944. Its totient is φ = 527353970688.

The previous prime is 2057367559651. The next prime is 2057367559691. The reversal of 2057367559680 is 869557637502.

2057367559680 is a `hidden beast` number, since 2 + 0 + 5 + 7 + 36 + 7 + 5 + 596 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×2057367559680² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70741302 + ... + 70770378.

Almost surely, 2^{2057367559680} is an apocalyptic number.

2057367559680 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 2057367559680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3703118891472).

2057367559680 is an abundant number, since it is smaller than the sum of its proper divisors (5348870223264).

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

2057367559680 is a wasteful number, since it uses less digits than its factorization.

2057367559680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29226 (or 29207 counting only the distinct ones).

The product of its (nonzero) digits is 95256000, while the sum is 63.

The spelling of 2057367559680 in words is "two trillion, fifty-seven billion, three hundred sixty-seven million, five hundred fifty-nine thousand, six hundred eighty".