11201623400 has 144 divisors (see below), whose sum is σ = 28719581100. Its totient is φ = 4060108800.

The previous prime is 11201623399. The next prime is 11201623417. The reversal of 11201623400 is 432610211.

It can be written as a sum of positive squares in 6 ways, for example, as 1741726756 + 9459896644 = 41734^2 + 97262^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10478066 + ... + 10479134.

Almost surely, 2^11201623400 is an apocalyptic number.

11201623400 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 11201623400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14359790550).

11201623400 is an abundant number, since it is smaller than the sum of its proper divisors (17517957700).

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

11201623400 is a wasteful number, since it uses less digits than its factorization.

11201623400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The spelling of 11201623400 in words is "eleven billion, two hundred one million, six hundred twenty-three thousand, four hundred".