1053432306720 has 480 divisors, whose sum is σ = 3886822558080. Its totient is φ = 268186152960.

The previous prime is 1053432306701. The next prime is 1053432306737. The reversal of 1053432306720 is 276032343501.

1053432306720 is a `hidden beast` number, since 1 + 0 + 5 + 343 + 2 + 306 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×1053432306720² (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 (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 169604415 + ... + 169610625.

It is an arithmetic number, because the mean of its divisors is an integer number (8097546996).

Almost surely, 2^{1053432306720} is an apocalyptic number.

1053432306720 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 1053432306720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1943411279040).

1053432306720 is an abundant number, since it is smaller than the sum of its proper divisors (2833390251360).

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

1053432306720 is a wasteful number, since it uses less digits than its factorization.

1053432306720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6830 (or 6813 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 1053432306720 in words is "one trillion, fifty-three billion, four hundred thirty-two million, three hundred six thousand, seven hundred twenty".