11080129227840 has 336 divisors, whose sum is σ = 40368959729280. Its totient is φ = 2779785216000.

The previous prime is 11080129227809. The next prime is 11080129227877. The reversal of 11080129227840 is 4872292108011.

11080129227840 is a `hidden beast` number, since 1 + 10 + 80 + 1 + 292 + 278 + 4 + 0 = 666.

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

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, 126223965 + ... + 126311715.

It is an arithmetic number, because the mean of its divisors is an integer number (120145713480).

Almost surely, 2^{11080129227840} is an apocalyptic number.

11080129227840 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 11080129227840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20184479864640).

11080129227840 is an abundant number, since it is smaller than the sum of its proper divisors (29288830501440).

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

11080129227840 is a wasteful number, since it uses less digits than its factorization.

11080129227840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90370 (or 90357 counting only the distinct ones).

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

The spelling of 11080129227840 in words is "eleven trillion, eighty billion, one hundred twenty-nine million, two hundred twenty-seven thousand, eight hundred forty".