11353672000 has 336 divisors, whose sum is σ = 31841291664. Its totient is φ = 4004352000.

The previous prime is 11353671937. The next prime is 11353672039. The reversal of 11353672000 is 27635311.

It can be written as a sum of positive squares in 8 ways, for example, as 4172126464 + 7181545536 = 64592^2 + 84744^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11353672000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35815842 + ... + 35816158.

It is an arithmetic number, because the mean of its divisors is an integer number (94765749).

Almost surely, 2^11353672000 is an apocalyptic number.

11353672000 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 11353672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15920645832).

11353672000 is an abundant number, since it is smaller than the sum of its proper divisors (20487619664).

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

11353672000 is a wasteful number, since it uses less digits than its factorization.

11353672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The spelling of 11353672000 in words is "eleven billion, three hundred fifty-three million, six hundred seventy-two thousand".