1056588134400 has 864 divisors, whose sum is σ = 4145647942800. Its totient is φ = 255983616000.

The previous prime is 1056588134387. The next prime is 1056588134401. The reversal of 1056588134400 is 44318856501.

1056588134400 is a `hidden beast` number, since 1 + 0 + 56 + 588 + 13 + 4 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×1056588134400² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056588134401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 227172075 + ... + 227176725.

Almost surely, 2^{1056588134400} is an apocalyptic number.

1056588134400 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 1056588134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2072823971400).

1056588134400 is an abundant number, since it is smaller than the sum of its proper divisors (3089059808400).

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

1056588134400 is a wasteful number, since it uses less digits than its factorization.

1056588134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4735 (or 4707 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 1056588134400 in words is "one trillion, fifty-six billion, five hundred eighty-eight million, one hundred thirty-four thousand, four hundred".