1057883395968 has 768 divisors, whose sum is σ = 3881509632000. Its totient is φ = 269680803840.

The previous prime is 1057883395909. The next prime is 1057883395979. The reversal of 1057883395968 is 8695933887501.

1057883395968 is a `hidden beast` number, since 1 + 0 + 5 + 78 + 83 + 395 + 96 + 8 = 666.

1057883395968 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 2×1057883395968² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 1057883395896 and 1057883395905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 182170921 + ... + 182176727.

It is an arithmetic number, because the mean of its divisors is an integer number (5054049000).

Almost surely, 2^{1057883395968} is an apocalyptic number.

1057883395968 is a gapful number since it is divisible by the number (18) 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 1057883395968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1940754816000).

1057883395968 is an abundant number, since it is smaller than the sum of its proper divisors (2823626236032).

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

1057883395968 is a wasteful number, since it uses less digits than its factorization.

1057883395968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5923 (or 5908 counting only the distinct ones).

The product of its (nonzero) digits is 391910400, while the sum is 72.

The spelling of 1057883395968 in words is "one trillion, fifty-seven billion, eight hundred eighty-three million, three hundred ninety-five thousand, nine hundred sixty-eight".