1057452400368 has 360 divisors, whose sum is σ = 3735720804816. Its totient is φ = 276756480000.

The previous prime is 1057452400351. The next prime is 1057452400391. The reversal of 1057452400368 is 8630042547501.

1057452400368 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 45 + 240 + 0 + 368 = 666.

It is a super-2 number, since 2×1057452400368² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11972368 + ... + 12060368.

Almost surely, 2^{1057452400368} is an apocalyptic number.

1057452400368 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 1057452400368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1867860402408).

1057452400368 is an abundant number, since it is smaller than the sum of its proper divisors (2678268404448).

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

1057452400368 is a wasteful number, since it uses less digits than its factorization.

1057452400368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88173 (or 88157 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

Adding to 1057452400368 its reverse (8630042547501), we get a palindrome (9687494947869).

The spelling of 1057452400368 in words is "one trillion, fifty-seven billion, four hundred fifty-two million, four hundred thousand, three hundred sixty-eight".