1057988096640 has 768 divisors, whose sum is σ = 4150167840000. Its totient is φ = 256359333888.

The previous prime is 1057988096621. The next prime is 1057988096677. The reversal of 1057988096640 is 466908897501.

1057988096640 is a `hidden beast` number, since 10 + 579 + 8 + 8 + 0 + 9 + 6 + 6 + 40 = 666.

It is a super-2 number, since 2×1057988096640² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76664461 + ... + 76678259.

It is an arithmetic number, because the mean of its divisors is an integer number (5403864375).

Almost surely, 2^{1057988096640} is an apocalyptic number.

1057988096640 is a gapful number since it is divisible by the number (10) 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 1057988096640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2075083920000).

1057988096640 is an abundant number, since it is smaller than the sum of its proper divisors (3092179743360).

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

1057988096640 is a wasteful number, since it uses less digits than its factorization.

1057988096640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13879 (or 13855 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 1057988096640 in words is "one trillion, fifty-seven billion, nine hundred eighty-eight million, ninety-six thousand, six hundred forty".