1053456891300 has 432 divisors, whose sum is σ = 3850934774400. Its totient is φ = 246574944000.

The previous prime is 1053456891281. The next prime is 1053456891313. The reversal of 1053456891300 is 31986543501.

1053456891300 is a `hidden beast` number, since 1 + 0 + 53 + 4 + 568 + 9 + 1 + 30 + 0 = 666.

It is a super-2 number, since 2×1053456891300² (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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9418705 + ... + 9529895.

Almost surely, 2^{1053456891300} is an apocalyptic number.

1053456891300 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 1053456891300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1925467387200).

1053456891300 is an abundant number, since it is smaller than the sum of its proper divisors (2797477883100).

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

1053456891300 is a wasteful number, since it uses less digits than its factorization.

1053456891300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111265 (or 111241 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 1053456891300 in words is "one trillion, fifty-three billion, four hundred fifty-six million, eight hundred ninety-one thousand, three hundred".