1053144892800 has 4032 divisors, whose sum is σ = 5405563709280. Its totient is φ = 197074944000.

The previous prime is 1053144892757. The next prime is 1053144892823. The reversal of 1053144892800 is 82984413501.

1053144892800 is a `hidden beast` number, since 10 + 5 + 31 + 448 + 92 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×1053144892800² (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 an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 25686460780 + ... + 25686460820.

Almost surely, 2^{1053144892800} is an apocalyptic number.

1053144892800 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 1053144892800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2702781854640).

1053144892800 is an abundant number, since it is smaller than the sum of its proper divisors (4352418816480).

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

1053144892800 is a wasteful number, since it uses less digits than its factorization.

1053144892800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 1053144892800 in words is "one trillion, fifty-three billion, one hundred forty-four million, eight hundred ninety-two thousand, eight hundred".