19901284200 has 384 divisors, whose sum is σ = 78959232000. Its totient is φ = 4513017600.

The previous prime is 19901284199. The next prime is 19901284219. The reversal of 19901284200 is 248210991.

It is a super-2 number, since 2×19901284200² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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, 4949791 + ... + 4953809.

It is an arithmetic number, because the mean of its divisors is an integer number (205623000).

Almost surely, 2^19901284200 is an apocalyptic number.

19901284200 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 19901284200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39479616000).

19901284200 is an abundant number, since it is smaller than the sum of its proper divisors (59057947800).

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

19901284200 is a wasteful number, since it uses less digits than its factorization.

19901284200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4182 (or 4167 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 19901284200 in words is "nineteen billion, nine hundred one million, two hundred eighty-four thousand, two hundred".