19618980900 has 288 divisors, whose sum is σ = 61769796480. Its totient is φ = 4789370880.

The previous prime is 19618980893. The next prime is 19618980947. The reversal of 19618980900 is 908981691.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 34001412 + ... + 34001988.

It is an arithmetic number, because the mean of its divisors is an integer number (214478460).

Almost surely, 2^19618980900 is an apocalyptic number.

19618980900 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 19618980900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30884898240).

19618980900 is an abundant number, since it is smaller than the sum of its proper divisors (42150815580).

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

19618980900 is a wasteful number, since it uses less digits than its factorization.

19618980900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 51.

The spelling of 19618980900 in words is "nineteen billion, six hundred eighteen million, nine hundred eighty thousand, nine hundred".