1080513954432 has 576 divisors, whose sum is σ = 3634103491200. Its totient is φ = 307234836480.

The previous prime is 1080513954397. The next prime is 1080513954437. The reversal of 1080513954432 is 2344593150801.

1080513954432 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 513 + 95 + 4 + 43 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1080513954437) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 169915669 + ... + 169922027.

It is an arithmetic number, because the mean of its divisors is an integer number (6309207450).

Almost surely, 2^{1080513954432} is an apocalyptic number.

1080513954432 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 1080513954432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1817051745600).

1080513954432 is an abundant number, since it is smaller than the sum of its proper divisors (2553589536768).

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

1080513954432 is a wasteful number, since it uses less digits than its factorization.

1080513954432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6477 (or 6451 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 1080513954432 in words is "one trillion, eighty billion, five hundred thirteen million, nine hundred fifty-four thousand, four hundred thirty-two".