11087794869840 has 480 divisors, whose sum is σ = 40679758828800. Its totient is φ = 2690160574464.

The previous prime is 11087794869797. The next prime is 11087794869859. The reversal of 11087794869840 is 4896849778011.

11087794869840 is a `hidden beast` number, since 1 + 10 + 8 + 7 + 7 + 9 + 486 + 98 + 40 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 199274664 + ... + 199330296.

It is an arithmetic number, because the mean of its divisors is an integer number (84749497560).

Almost surely, 2^{11087794869840} is an apocalyptic number.

11087794869840 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 11087794869840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20339879414400).

11087794869840 is an abundant number, since it is smaller than the sum of its proper divisors (29591963958960).

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

11087794869840 is a wasteful number, since it uses less digits than its factorization.

11087794869840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55971 (or 55962 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 72.

The spelling of 11087794869840 in words is "eleven trillion, eighty-seven billion, seven hundred ninety-four million, eight hundred sixty-nine thousand, eight hundred forty".