11261289600 has 1152 divisors, whose sum is σ = 48924993600. Its totient is φ = 2506752000.

The previous prime is 11261289587. The next prime is 11261289631. The reversal of 11261289600 is 698216211.

11261289600 is a `hidden beast` number, since 1 + 1 + 26 + 1 + 28 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 143 ways as a sum of consecutive naturals, for example, 274665580 + ... + 274665620.

Almost surely, 2^11261289600 is an apocalyptic number.

11261289600 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 11261289600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24462496800).

11261289600 is an abundant number, since it is smaller than the sum of its proper divisors (37663704000).

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

11261289600 is a wasteful number, since it uses less digits than its factorization.

11261289600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 11261289600 in words is "eleven billion, two hundred sixty-one million, two hundred eighty-nine thousand, six hundred".