19501132800 has 264 divisors, whose sum is σ = 66539487232. Its totient is φ = 5031936000.

The previous prime is 19501132789. The next prime is 19501132801. The reversal of 19501132800 is 823110591.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (19501132801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2376705 + ... + 2384895.

Almost surely, 2^19501132800 is an apocalyptic number.

19501132800 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 19501132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33269743616).

19501132800 is an abundant number, since it is smaller than the sum of its proper divisors (47038354432).

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

19501132800 is a wasteful number, since it uses less digits than its factorization.

19501132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8255 (or 8232 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The spelling of 19501132800 in words is "nineteen billion, five hundred one million, one hundred thirty-two thousand, eight hundred".