2057696467560 has 512 divisors, whose sum is σ = 7324503667200. Its totient is φ = 512049807360.

The previous prime is 2057696467553. The next prime is 2057696467571. The reversal of 2057696467560 is 657646967502.

2057696467560 is a `hidden beast` number, since 2 + 0 + 5 + 7 + 6 + 9 + 6 + 4 + 67 + 560 = 666.

It is a super-2 number, since 2×2057696467560² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1212548632 + ... + 1212550328.

It is an arithmetic number, because the mean of its divisors is an integer number (14305671225).

Almost surely, 2^{2057696467560} is an apocalyptic number.

2057696467560 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 2057696467560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3662251833600).

2057696467560 is an abundant number, since it is smaller than the sum of its proper divisors (5266807199640).

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

2057696467560 is a wasteful number, since it uses less digits than its factorization.

2057696467560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2258 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 63.

The spelling of 2057696467560 in words is "two trillion, fifty-seven billion, six hundred ninety-six million, four hundred sixty-seven thousand, five hundred sixty".