219868991160 has 256 divisors, whose sum is σ = 813330201600. Its totient is φ = 46303875072.

The previous prime is 219868991123. The next prime is 219868991213. The reversal of 219868991160 is 61199868912.

219868991160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 219868991094 and 219868991103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5954836 + ... + 5991644.

It is an arithmetic number, because the mean of its divisors is an integer number (3177071100).

Almost surely, 2^219868991160 is an apocalyptic number.

219868991160 is a gapful number since it is divisible by the number (20) 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 219868991160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406665100800).

219868991160 is an abundant number, since it is smaller than the sum of its proper divisors (593461210440).

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

219868991160 is a wasteful number, since it uses less digits than its factorization.

219868991160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37390 (or 37386 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 60.

The spelling of 219868991160 in words is "two hundred nineteen billion, eight hundred sixty-eight million, nine hundred ninety-one thousand, one hundred sixty".