20187296400 has 120 divisors (see below), whose sum is σ = 64700055360. Its totient is φ = 5380497920.

The previous prime is 20187296333. The next prime is 20187296419. The reversal of 20187296400 is 469278102.

It is a tau number, because it is divible by the number of its divisors (120).

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, 3487909 + ... + 3493691.

It is an arithmetic number, because the mean of its divisors is an integer number (539167128).

Almost surely, 2^20187296400 is an apocalyptic number.

20187296400 is a gapful number since it is divisible by the number (20) 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 20187296400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32350027680).

20187296400 is an abundant number, since it is smaller than the sum of its proper divisors (44512758960).

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

20187296400 is a wasteful number, since it uses less digits than its factorization.

20187296400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8713 (or 8702 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 20187296400 in words is "twenty billion, one hundred eighty-seven million, two hundred ninety-six thousand, four hundred".