11245626000 has 480 divisors, whose sum is σ = 45264960000. Its totient is φ = 2548915200.

The previous prime is 11245625981. The next prime is 11245626053. The reversal of 11245626000 is 62654211.

11245626000 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 56 + 2 + 600 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18773701 + ... + 18774299.

It is an arithmetic number, because the mean of its divisors is an integer number (94302000).

Almost surely, 2^11245626000 is an apocalyptic number.

11245626000 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 11245626000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22632480000).

11245626000 is an abundant number, since it is smaller than the sum of its proper divisors (34019334000).

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

11245626000 is a wasteful number, since it uses less digits than its factorization.

11245626000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 11245626000 in words is "eleven billion, two hundred forty-five million, six hundred twenty-six thousand".