19794902400 has 1296 divisors, whose sum is σ = 90043104060. Its totient is φ = 4126187520.

The previous prime is 19794902339. The next prime is 19794902401. The reversal of 19794902400 is 420949791.

It is a happy number.

It is a super-2 number, since 2×19794902400² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19794902401) by changing a digit.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 238492759 + ... + 238492841.

Almost surely, 2^19794902400 is an apocalyptic number.

19794902400 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 19794902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45021552030).

19794902400 is an abundant number, since it is smaller than the sum of its proper divisors (70248201660).

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

19794902400 is a wasteful number, since it uses less digits than its factorization.

19794902400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 19794902400 in words is "nineteen billion, seven hundred ninety-four million, nine hundred two thousand, four hundred".