1057323731136 has 112 divisors (see below), whose sum is σ = 2805925096800. Its totient is φ = 351381307392.

The previous prime is 1057323731119. The next prime is 1057323731141. The reversal of 1057323731136 is 6311373237501.

1057323731136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1057323731136² (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 15 ways as a sum of consecutive naturals, for example, 148726750 + ... + 148733858.

It is an arithmetic number, because the mean of its divisors is an integer number (25052902650).

Almost surely, 2^{1057323731136} is an apocalyptic number.

1057323731136 is a gapful number since it is divisible by the number (16) 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 1057323731136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402962548400).

1057323731136 is an abundant number, since it is smaller than the sum of its proper divisors (1748601365664).

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

1057323731136 is a wasteful number, since it uses less digits than its factorization.

1057323731136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9346 (or 9336 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 42.

Adding to 1057323731136 its reverse (6311373237501), we get a palindrome (7368696968637).

The spelling of 1057323731136 in words is "one trillion, fifty-seven billion, three hundred twenty-three million, seven hundred thirty-one thousand, one hundred thirty-six".