11455025200 has 60 divisors (see below), whose sum is σ = 27600342840. Its totient is φ = 4568750080.

The previous prime is 11455025189. The next prime is 11455025213. The reversal of 11455025200 is 252055411.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97536 + ... + 180064.

It is an arithmetic number, because the mean of its divisors is an integer number (460005714).

Almost surely, 2^11455025200 is an apocalyptic number.

11455025200 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 11455025200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13800171420).

11455025200 is an abundant number, since it is smaller than the sum of its proper divisors (16145317640).

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

11455025200 is a wasteful number, since it uses less digits than its factorization.

11455025200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82894 (or 82883 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The spelling of 11455025200 in words is "eleven billion, four hundred fifty-five million, twenty-five thousand, two hundred".