1057100968688 has 60 divisors (see below), whose sum is σ = 2156265666504. Its totient is φ = 501849129600.

The previous prime is 1057100968661. The next prime is 1057100968699. The reversal of 1057100968688 is 8868690017501.

It is a super-2 number, since 2×1057100968688² (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 11 ways as a sum of consecutive naturals, for example, 166343 + ... + 1463513.

Almost surely, 2^{1057100968688} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1057100968688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078132833252).

1057100968688 is an abundant number, since it is smaller than the sum of its proper divisors (1099164697816).

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

1057100968688 is a wasteful number, since it uses less digits than its factorization.

1057100968688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1297294 (or 1297257 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 59.

The spelling of 1057100968688 in words is "one trillion, fifty-seven billion, one hundred million, nine hundred sixty-eight thousand, six hundred eighty-eight".