10980748800 has 1200 divisors, whose sum is σ = 49731058080. Its totient is φ = 2335703040.

The previous prime is 10980748789. The next prime is 10980748811. The reversal of 10980748800 is 884708901.

It is an interprime number because it is at equal distance from previous prime (10980748789) and next prime (10980748811).

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 123379156 + ... + 123379244.

Almost surely, 2^10980748800 is an apocalyptic number.

10980748800 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 10980748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24865529040).

10980748800 is an abundant number, since it is smaller than the sum of its proper divisors (38750309280).

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

10980748800 is an equidigital number, since it uses as much as digits as its factorization.

10980748800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 10980748800 in words is "ten billion, nine hundred eighty million, seven hundred forty-eight thousand, eight hundred".