11274590880 has 960 divisors, whose sum is σ = 49645854720. Its totient is φ = 2351462400.

The previous prime is 11274590879. The next prime is 11274590891. The reversal of 11274590880 is 8809547211.

11274590880 is a `hidden beast` number, since 112 + 7 + 459 + 0 + 8 + 80 = 666.

It is a super-2 number, since 2×11274590880² (a number of 21 digits) contains 22 as substring.

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 159 ways as a sum of consecutive naturals, for example, 53433975 + ... + 53434185.

It is an arithmetic number, because the mean of its divisors is an integer number (51714432).

Almost surely, 2^11274590880 is an apocalyptic number.

11274590880 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 11274590880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24822927360).

11274590880 is an abundant number, since it is smaller than the sum of its proper divisors (38371263840).

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

11274590880 is a wasteful number, since it uses less digits than its factorization.

11274590880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 11274590880 in words is "eleven billion, two hundred seventy-four million, five hundred ninety thousand, eight hundred eighty".