11103257088000 has 4992 divisors, whose sum is σ = 55367616245760. Its totient is φ = 2149908480000.

The previous prime is 11103257087987. The next prime is 11103257088013. The reversal of 11103257088000 is 88075230111.

11103257088000 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 3 + 2 + 570 + 8 + 80 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11103257087987) and next prime (11103257088013).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 182020607970 + ... + 182020608030.

It is an arithmetic number, because the mean of its divisors is an integer number (11091269280).

Almost surely, 2^{11103257088000} is an apocalyptic number.

11103257088000 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 11103257088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27683808122880).

11103257088000 is an abundant number, since it is smaller than the sum of its proper divisors (44264359157760).

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

11103257088000 is an equidigital number, since it uses as much as digits as its factorization.

11103257088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 11103257088000 in words is "eleven trillion, one hundred three billion, two hundred fifty-seven million, eighty-eight thousand".