11290813774240 has 288 divisors, whose sum is σ = 36011568249216. Its totient is φ = 3248505262080.

The previous prime is 11290813774237. The next prime is 11290813774283. The reversal of 11290813774240 is 4247731809211.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

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, 629347 + ... + 4793506.

It is an arithmetic number, because the mean of its divisors is an integer number (125040167532).

Almost surely, 2^{11290813774240} is an apocalyptic number.

11290813774240 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 11290813774240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18005784124608).

11290813774240 is an abundant number, since it is smaller than the sum of its proper divisors (24720754474976).

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

11290813774240 is a wasteful number, since it uses less digits than its factorization.

11290813774240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5422912 (or 5422891 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 49.

The spelling of 11290813774240 in words is "eleven trillion, two hundred ninety billion, eight hundred thirteen million, seven hundred seventy-four thousand, two hundred forty".