11277782880 has 768 divisors, whose sum is σ = 46820229120. Its totient is φ = 2215600128.

The previous prime is 11277782851. The next prime is 11277782941. The reversal of 11277782880 is 8828777211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 88801377 + ... + 88801503.

It is an arithmetic number, because the mean of its divisors is an integer number (60963840).

Almost surely, 2^11277782880 is an apocalyptic number.

11277782880 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 11277782880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23410114560).

11277782880 is an abundant number, since it is smaller than the sum of its proper divisors (35542446240).

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

11277782880 is a wasteful number, since it uses less digits than its factorization.

11277782880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 702464, while the sum is 51.

The spelling of 11277782880 in words is "eleven billion, two hundred seventy-seven million, seven hundred eighty-two thousand, eight hundred eighty".