1057903392000 has 1152 divisors, whose sum is σ = 4379813867520. Its totient is φ = 220365619200.

The previous prime is 1057903391959. The next prime is 1057903392011. The reversal of 1057903392000 is 2933097501.

It is a super-2 number, since 2×1057903392000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1057903392000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 725087271 + ... + 725088729.

It is an arithmetic number, because the mean of its divisors is an integer number (3801921760).

Almost surely, 2^{1057903392000} is an apocalyptic number.

1057903392000 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 1057903392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2189906933760).

1057903392000 is an abundant number, since it is smaller than the sum of its proper divisors (3321910475520).

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

1057903392000 is a wasteful number, since it uses less digits than its factorization.

1057903392000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 39.

The spelling of 1057903392000 in words is "one trillion, fifty-seven billion, nine hundred three million, three hundred ninety-two thousand".