16225254900 has 108 divisors (see below), whose sum is σ = 51115876812. Its totient is φ = 4304724480.

The previous prime is 16225254847. The next prime is 16225254919. The reversal of 16225254900 is 945252261.

16225254900 is a `hidden beast` number, since 1 + 62 + 2 + 52 + 549 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 156650256 + 16068604644 = 12516^2 + 126762^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 131544 + ... + 223056.

Almost surely, 2^16225254900 is an apocalyptic number.

16225254900 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 16225254900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25557938406).

16225254900 is an abundant number, since it is smaller than the sum of its proper divisors (34890621912).

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

16225254900 is a wasteful number, since it uses less digits than its factorization.

16225254900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91730 (or 91720 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 16225254900 in words is "sixteen billion, two hundred twenty-five million, two hundred fifty-four thousand, nine hundred".