1052274758400 has 756 divisors, whose sum is σ = 4135049605512. Its totient is φ = 264080424960.

The previous prime is 1052274758377. The next prime is 1052274758411. The reversal of 1052274758400 is 48574722501.

1052274758400 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 27 + 47 + 584 + 0 + 0 = 666.

It is a super-2 number, since 2×1052274758400² (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 an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 79308567 + ... + 79321833.

Almost surely, 2^{1052274758400} is an apocalyptic number.

1052274758400 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 1052274758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2067524802756).

1052274758400 is an abundant number, since it is smaller than the sum of its proper divisors (3082774847112).

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

1052274758400 is an equidigital number, since it uses as much as digits as its factorization.

1052274758400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13328 (or 13294 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 45.

The spelling of 1052274758400 in words is "one trillion, fifty-two billion, two hundred seventy-four million, seven hundred fifty-eight thousand, four hundred".