1057376785920 has 1440 divisors, whose sum is σ = 4402786516128. Its totient is φ = 214563815424.

The previous prime is 1057376785909. The next prime is 1057376785937. The reversal of 1057376785920 is 295876737501.

It is a happy number.

It is a super-2 number, since 2×1057376785920² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4114306432 + ... + 4114306688.

Almost surely, 2^{1057376785920} is an apocalyptic number.

1057376785920 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 1057376785920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2201393258064).

1057376785920 is an abundant number, since it is smaller than the sum of its proper divisors (3345409730208).

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

1057376785920 is a wasteful number, since it uses less digits than its factorization.

1057376785920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 22226400, while the sum is 60.

The spelling of 1057376785920 in words is "one trillion, fifty-seven billion, three hundred seventy-six million, seven hundred eighty-five thousand, nine hundred twenty".