1053388800 has 390 divisors, whose sum is σ = 3932728448. Its totient is φ = 278691840.

The previous prime is 1053388783. The next prime is 1053388811. The reversal of 1053388800 is 88833501.

It is a happy number.

It is a super-2 number, since 2×1053388800² = 2219255927930880000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8294337 + ... + 8294463.

Almost surely, 2^1053388800 is an apocalyptic number.

1053388800 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 1053388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1966364224).

1053388800 is an abundant number, since it is smaller than the sum of its proper divisors (2879339648).

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

1053388800 is an equidigital number, since it uses as much as digits as its factorization.

1053388800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1053388800 is about 32455.9516884038. The cubic root of 1053388800 is about 1017.4886314574.

The spelling of 1053388800 in words is "one billion, fifty-three million, three hundred eighty-eight thousand, eight hundred".