9954109800 has 72 divisors (see below), whose sum is σ = 33429224790. Its totient is φ = 2654428800.

The previous prime is 9954109799. The next prime is 9954109813. The reversal of 9954109800 is 89014599.

It can be written as a sum of positive squares in 3 ways, for example, as 5003298756 + 4950811044 = 70734^2 + 70362^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2763231 + ... + 2766830.

Almost surely, 2^9954109800 is an apocalyptic number.

9954109800 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9954109800 is an abundant number, since it is smaller than the sum of its proper divisors (23475114990).

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

9954109800 is a wasteful number, since it uses less digits than its factorization.

9954109800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5530083 (or 5530071 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 9954109800 is about 99770.2851554510. The cubic root of 9954109800 is about 2151.1340546836.

The spelling of 9954109800 in words is "nine billion, nine hundred fifty-four million, one hundred nine thousand, eight hundred".