11074308005280 has 192 divisors, whose sum is σ = 37598053772160. Its totient is φ = 2723763572736.

The previous prime is 11074308005279. The next prime is 11074308005333. The reversal of 11074308005280 is 8250080347011.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6946939 + ... + 8390981.

It is an arithmetic number, because the mean of its divisors is an integer number (195823196730).

Almost surely, 2^{11074308005280} is an apocalyptic number.

11074308005280 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 11074308005280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18799026886080).

11074308005280 is an abundant number, since it is smaller than the sum of its proper divisors (26523745766880).

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

11074308005280 is a wasteful number, since it uses less digits than its factorization.

11074308005280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1445303 (or 1445295 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The spelling of 11074308005280 in words is "eleven trillion, seventy-four billion, three hundred eight million, five thousand, two hundred eighty".