1057039999092 has 576 divisors, whose sum is σ = 3720135444480. Its totient is φ = 254007705600.

The previous prime is 1057039999079. The next prime is 1057039999129. The reversal of 1057039999092 is 2909999307501.

1057039999092 is a `hidden beast` number, since 1 + 0 + 5 + 70 + 399 + 9 + 90 + 92 = 666.

It is a super-2 number, since 2×1057039999092² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 75061492 + ... + 75075572.

It is an arithmetic number, because the mean of its divisors is an integer number (6458568480).

Almost surely, 2^{1057039999092} is an apocalyptic number.

1057039999092 is a gapful number since it is divisible by the number (12) 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 1057039999092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860067722240).

1057039999092 is an abundant number, since it is smaller than the sum of its proper divisors (2663095445388).

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

1057039999092 is a wasteful number, since it uses less digits than its factorization.

1057039999092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14194 (or 14180 counting only the distinct ones).

The product of its (nonzero) digits is 12400290, while the sum is 63.

The spelling of 1057039999092 in words is "one trillion, fifty-seven billion, thirty-nine million, nine hundred ninety-nine thousand, ninety-two".