1057839793920 has 1728 divisors, whose sum is σ = 4764368953344. Its totient is φ = 210691031040.

The previous prime is 1057839793897. The next prime is 1057839793943. The reversal of 1057839793920 is 293979387501.

1057839793920 is a `hidden beast` number, since 1 + 0 + 5 + 78 + 397 + 93 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1057839793897) and next prime (1057839793943).

It is a super-2 number, since 2×1057839793920² (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, 1397410182 + ... + 1397410938.

Almost surely, 2^{1057839793920} is an apocalyptic number.

1057839793920 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 1057839793920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2382184476672).

1057839793920 is an abundant number, since it is smaller than the sum of its proper divisors (3706529159424).

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

1057839793920 is a wasteful number, since it uses less digits than its factorization.

1057839793920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 63.

The spelling of 1057839793920 in words is "one trillion, fifty-seven billion, eight hundred thirty-nine million, seven hundred ninety-three thousand, nine hundred twenty".