11102553000 has 768 divisors, whose sum is σ = 48161917440. Its totient is φ = 2239488000.

The previous prime is 11102552983. The next prime is 11102553019. The reversal of 11102553000 is 35520111.

11102553000 is a `hidden beast` number, since 1 + 110 + 2 + 553 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25640784 + ... + 25641216.

It is an arithmetic number, because the mean of its divisors is an integer number (62710830).

Almost surely, 2^11102553000 is an apocalyptic number.

11102553000 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 11102553000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24080958720).

11102553000 is an abundant number, since it is smaller than the sum of its proper divisors (37059364440).

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

11102553000 is a wasteful number, since it uses less digits than its factorization.

11102553000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

It can be divided in two parts, 111025 and 53000, that added together give a square (164025 = 405²).

The spelling of 11102553000 in words is "eleven billion, one hundred two million, five hundred fifty-three thousand".