19681562100 has 288 divisors, whose sum is σ = 61148086272. Its totient is φ = 4878720000.

The previous prime is 19681562057. The next prime is 19681562101. The reversal of 19681562100 is 126518691.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19681562101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27071937 + ... + 27072663.

It is an arithmetic number, because the mean of its divisors is an integer number (212319744).

Almost surely, 2^19681562100 is an apocalyptic number.

19681562100 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 19681562100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30574043136).

19681562100 is an abundant number, since it is smaller than the sum of its proper divisors (41466524172).

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

19681562100 is a wasteful number, since it uses less digits than its factorization.

19681562100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 39.

The spelling of 19681562100 in words is "nineteen billion, six hundred eighty-one million, five hundred sixty-two thousand, one hundred".