11260554000 has 160 divisors (see below), whose sum is σ = 36357125376. Its totient is φ = 2998425600.

The previous prime is 11260553981. The next prime is 11260554023. The reversal of 11260554000 is 45506211.

11260554000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7781277 + ... + 7782723.

Almost surely, 2^11260554000 is an apocalyptic number.

11260554000 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 11260554000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18178562688).

11260554000 is an abundant number, since it is smaller than the sum of its proper divisors (25096571376).

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

11260554000 is a wasteful number, since it uses less digits than its factorization.

11260554000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2770 (or 2754 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The spelling of 11260554000 in words is "eleven billion, two hundred sixty million, five hundred fifty-four thousand".