1053455155200 has 1458 divisors, whose sum is σ = 4558416947721. Its totient is φ = 240789749760.

The previous prime is 1053455155177. The next prime is 1053455155217. The reversal of 1053455155200 is 25515543501.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (9!)² ⋅ (2!)³.

1053455155200 is a `hidden beast` number, since 1 + 0 + 5 + 34 + 551 + 55 + 20 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1032386052096 + 21069103104 = 1016064^2 + 145152^2 .

It is a tau number, because it is divible by the number of its divisors (1458).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=725760.

It is a super-2 number, since 2×1053455155200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 150493593597 + ... + 150493593603.

Almost surely, 2^{1053455155200} is an apocalyptic number.

1053455155200 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 1053455155200

1053455155200 is an abundant number, since it is smaller than the sum of its proper divisors (3504961792521).

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

1053455155200 is an frugal number, since it uses more digits than its factorization.

1053455155200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 36.

The spelling of 1053455155200 in words is "one trillion, fifty-three billion, four hundred fifty-five million, one hundred fifty-five thousand, two hundred".