1056129453792 has 768 divisors, whose sum is σ = 3777048576000. Its totient is φ = 284120483328.

The previous prime is 1056129453781. The next prime is 1056129453871. The reversal of 1056129453792 is 2973549216501.

1056129453792 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 12 + 9 + 4 + 537 + 92 = 666.

It is a super-2 number, since 2×1056129453792² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 754916709 + ... + 754918107.

It is an arithmetic number, because the mean of its divisors is an integer number (4918032000).

Almost surely, 2^{1056129453792} is an apocalyptic number.

1056129453792 is a gapful number since it is divisible by the number (12) 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 1056129453792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1888524288000).

1056129453792 is an abundant number, since it is smaller than the sum of its proper divisors (2720919122208).

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

1056129453792 is an equidigital number, since it uses as much as digits as its factorization.

1056129453792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 1056129453792 in words is "one trillion, fifty-six billion, one hundred twenty-nine million, four hundred fifty-three thousand, seven hundred ninety-two".