10932480000 has 720 divisors, whose sum is σ = 43073290260. Its totient is φ = 2654208000.

The previous prime is 10932479993. The next prime is 10932480019. The reversal of 10932480000 is 8423901.

10932480000 = 5405² + 5406² + ... + 5755².

It can be written as a sum of positive squares in 10 ways, for example, as 2027160576 + 8905319424 = 45024^2 + 94368^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 149759964 + ... + 149760036.

Almost surely, 2^10932480000 is an apocalyptic number.

10932480000 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 10932480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21536645130).

10932480000 is an abundant number, since it is smaller than the sum of its proper divisors (32140810260).

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

10932480000 is an equidigital number, since it uses as much as digits as its factorization.

10932480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 10932480000 in words is "ten billion, nine hundred thirty-two million, four hundred eighty thousand".