11260704000 has 576 divisors, whose sum is σ = 46069470720. Its totient is φ = 2374041600.

The previous prime is 11260703981. The next prime is 11260704023. The reversal of 11260704000 is 40706211.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8735356 + ... + 8736644.

It is an arithmetic number, because the mean of its divisors is an integer number (79981720).

Almost surely, 2^11260704000 is an apocalyptic number.

11260704000 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 11260704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23034735360).

11260704000 is an abundant number, since it is smaller than the sum of its proper divisors (34808766720).

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

11260704000 is a wasteful number, since it uses less digits than its factorization.

11260704000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The spelling of 11260704000 in words is "eleven billion, two hundred sixty million, seven hundred four thousand".