11306635000 has 120 divisors (see below), whose sum is σ = 27144029880. Its totient is φ = 4413864000.

The previous prime is 11306634953. The next prime is 11306635001. The reversal of 11306635000 is 53660311.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11306635001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 9244389 + ... + 9245611.

It is an arithmetic number, because the mean of its divisors is an integer number (226200249).

Almost surely, 2^11306635000 is an apocalyptic number.

11306635000 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 11306635000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13572014940).

11306635000 is an abundant number, since it is smaller than the sum of its proper divisors (15837394880).

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

11306635000 is an equidigital number, since it uses as much as digits as its factorization.

11306635000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The spelling of 11306635000 in words is "eleven billion, three hundred six million, six hundred thirty-five thousand".