1053246859200 has 756 divisors, whose sum is σ = 3993757429792. Its totient is φ = 263208960000.

The previous prime is 1053246859187. The next prime is 1053246859207. The reversal of 1053246859200 is 29586423501.

1053246859200 is a `hidden beast` number, since 1 + 0 + 53 + 2 + 4 + 6 + 8 + 592 + 0 + 0 = 666.

It is a super-2 number, since 2×1053246859200² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053246859207) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1402458825 + ... + 1402459575.

Almost surely, 2^{1053246859200} is an apocalyptic number.

1053246859200 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 1053246859200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1996878714896).

1053246859200 is an abundant number, since it is smaller than the sum of its proper divisors (2940510570592).

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

1053246859200 is a wasteful number, since it uses less digits than its factorization.

1053246859200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 1053246859200 in words is "one trillion, fifty-three billion, two hundred forty-six million, eight hundred fifty-nine thousand, two hundred".