19853402400 has 576 divisors, whose sum is σ = 81894758400. Its totient is φ = 4598415360.

The previous prime is 19853402357. The next prime is 19853402467. The reversal of 19853402400 is 420435891.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4771521 + ... + 4775679.

It is an arithmetic number, because the mean of its divisors is an integer number (142178400).

Almost surely, 2^19853402400 is an apocalyptic number.

19853402400 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 19853402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40947379200).

19853402400 is an abundant number, since it is smaller than the sum of its proper divisors (62041356000).

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

19853402400 is a wasteful number, since it uses less digits than its factorization.

19853402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4218 (or 4199 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 19853402400 in words is "nineteen billion, eight hundred fifty-three million, four hundred two thousand, four hundred".