2057689370880 has 2880 divisors, whose sum is σ = 9246134532096. Its totient is φ = 433564876800.

The previous prime is 2057689370879. The next prime is 2057689370921. The reversal of 2057689370880 is 880739867502.

2057689370880 is a `hidden beast` number, since 20 + 576 + 8 + 9 + 37 + 0 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 31746 × 2046 × 31680.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 55613226222 + ... + 55613226258.

Almost surely, 2^{2057689370880} is an apocalyptic number.

2057689370880 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 2057689370880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4623067266048).

2057689370880 is an abundant number, since it is smaller than the sum of its proper divisors (7188445161216).

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

2057689370880 is a wasteful number, since it uses less digits than its factorization.

2057689370880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 2057689370880 in words is "two trillion, fifty-seven billion, six hundred eighty-nine million, three hundred seventy thousand, eight hundred eighty".