10980513600 has 672 divisors, whose sum is σ = 43540070400. Its totient is φ = 2369740800.

The previous prime is 10980513563. The next prime is 10980513623. The reversal of 10980513600 is 631508901.

10980513600 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 (672).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57489505 + ... + 57489695.

Almost surely, 2^10980513600 is an apocalyptic number.

10980513600 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 10980513600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21770035200).

10980513600 is an abundant number, since it is smaller than the sum of its proper divisors (32559556800).

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

10980513600 is a wasteful number, since it uses less digits than its factorization.

10980513600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The spelling of 10980513600 in words is "ten billion, nine hundred eighty million, five hundred thirteen thousand, six hundred".