11032500400 has 120 divisors (see below), whose sum is σ = 26958587040. Its totient is φ = 4338247680.

The previous prime is 11032500373. The next prime is 11032500449. The reversal of 11032500400 is 400523011.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5972277 + ... + 5974123.

It is an arithmetic number, because the mean of its divisors is an integer number (224654892).

Almost surely, 2^11032500400 is an apocalyptic number.

11032500400 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 11032500400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13479293520).

11032500400 is an abundant number, since it is smaller than the sum of its proper divisors (15926086640).

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

11032500400 is a wasteful number, since it uses less digits than its factorization.

11032500400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2111 (or 2100 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The spelling of 11032500400 in words is "eleven billion, thirty-two million, five hundred thousand, four hundred".