1053666432 has 576 divisors, whose sum is σ = 4106356800. Its totient is φ = 251817984.

The previous prime is 1053666403. The next prime is 1053666469. The reversal of 1053666432 is 2346663501.

1053666432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1053666432² = 2220425899847221248, 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 71 ways as a sum of consecutive naturals, for example, 45811573 + ... + 45811595.

Almost surely, 2^1053666432 is an apocalyptic number.

1053666432 is a gapful number since it is divisible by the number (12) 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 1053666432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2053178400).

1053666432 is an abundant number, since it is smaller than the sum of its proper divisors (3052690368).

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

1053666432 is a wasteful number, since it uses less digits than its factorization.

1053666432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 1053666432 is about 32460.2284650001. The cubic root of 1053666432 is about 1017.5780136462.

The spelling of 1053666432 in words is "one billion, fifty-three million, six hundred sixty-six thousand, four hundred thirty-two".