1057984312320 has 880 divisors, whose sum is σ = 4151071637328. Its totient is φ = 256077987840.

The previous prime is 1057984312309. The next prime is 1057984312369. The reversal of 1057984312320 is 232134897501.

It is a happy number.

1057984312320 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 9 + 8 + 4 + 312 + 320 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 114319724544 + 943664587776 = 338112^2 + 971424^2 .

It is a super-2 number, since 2×1057984312320² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 328871352 + ... + 328874568.

Almost surely, 2^{1057984312320} is an apocalyptic number.

1057984312320 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 1057984312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2075535818664).

1057984312320 is an abundant number, since it is smaller than the sum of its proper divisors (3093087325008).

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

1057984312320 is a wasteful number, since it uses less digits than its factorization.

1057984312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3328 (or 3301 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 1057984312320 in words is "one trillion, fifty-seven billion, nine hundred eighty-four million, three hundred twelve thousand, three hundred twenty".