11082977280 has 624 divisors, whose sum is σ = 42504606144. Its totient is φ = 2760376320.

The previous prime is 11082977261. The next prime is 11082977291. The reversal of 11082977280 is 8277928011.

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 47 ways as a sum of consecutive naturals, for example, 84602815 + ... + 84602945.

It is an arithmetic number, because the mean of its divisors is an integer number (68116356).

Almost surely, 2^11082977280 is an apocalyptic number.

11082977280 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 11082977280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21252303072).

11082977280 is an abundant number, since it is smaller than the sum of its proper divisors (31421628864).

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

11082977280 is an equidigital number, since it uses as much as digits as its factorization.

11082977280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 11082977280 in words is "eleven billion, eighty-two million, nine hundred seventy-seven thousand, two hundred eighty".