11093575812804 has 405 divisors, whose sum is σ = 30860618344479. Its totient is φ = 3474854782560.

The previous prime is 11093575812799. The next prime is 11093575812881. The reversal of 11093575812804 is 40821857539011.

The square root of 11093575812804 is 3330702.

It is a perfect power (a square), and thus also a powerful number.

11093575812804 is a `hidden beast` number, since 1 + 1 + 0 + 9 + 3 + 57 + 581 + 2 + 8 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 87350990589 + ... + 87350990715.

Almost surely, 2^{11093575812804} is an apocalyptic number.

11093575812804 is the 3330702-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11093575812804

11093575812804 is an abundant number, since it is smaller than the sum of its proper divisors (19767042531675).

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

11093575812804 is an equidigital number, since it uses as much as digits as its factorization.

11093575812804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

It can be divided in two parts, 1109357 and 5812804, that added together give a square (6922161 = 2631²).

The spelling of 11093575812804 in words is "eleven trillion, ninety-three billion, five hundred seventy-five million, eight hundred twelve thousand, eight hundred four".