11898932400 has 720 divisors, whose sum is σ = 47853187200. Its totient is φ = 2821754880.

The previous prime is 11898932369. The next prime is 11898932413. The reversal of 11898932400 is 423989811.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31395411 + ... + 31395789.

It is an arithmetic number, because the mean of its divisors is an integer number (66462760).

Almost surely, 2^11898932400 is an apocalyptic number.

11898932400 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 11898932400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23926593600).

11898932400 is an abundant number, since it is smaller than the sum of its proper divisors (35954254800).

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

11898932400 is a wasteful number, since it uses less digits than its factorization.

11898932400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 11898932400 in words is "eleven billion, eight hundred ninety-eight million, nine hundred thirty-two thousand, four hundred".