11356904000 has 112 divisors (see below), whose sum is σ = 30289140336. Its totient is φ = 4193280000.

The previous prime is 11356903997. The next prime is 11356904011. The reversal of 11356904000 is 40965311.

It can be written as a sum of positive squares in 8 ways, for example, as 3685946944 + 7670957056 = 60712^2 + 87584^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49400 + ... + 158600.

It is an arithmetic number, because the mean of its divisors is an integer number (270438753).

Almost surely, 2^11356904000 is an apocalyptic number.

11356904000 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 11356904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15144570168).

11356904000 is an abundant number, since it is smaller than the sum of its proper divisors (18932236336).

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

11356904000 is a wasteful number, since it uses less digits than its factorization.

11356904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109241 (or 109221 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

It can be divided in two parts, 1135690 and 4000, that multiplied together give a square (4542760000 = 67400²).

The spelling of 11356904000 in words is "eleven billion, three hundred fifty-six million, nine hundred four thousand".