19186771968 has 960 divisors, whose sum is σ = 74585871360. Its totient is φ = 4777574400.

The previous prime is 19186771963. The next prime is 19186771969. The reversal of 19186771968 is 86917768191.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (9144576) is a multiple of the sum of its prime factors (126).

It is not an unprimeable number, because it can be changed into a prime (19186771963) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 467970028 + ... + 467970068.

It is an arithmetic number, because the mean of its divisors is an integer number (77693616).

Almost surely, 2^19186771968 is an apocalyptic number.

19186771968 is a gapful number since it is divisible by the number (18) 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 19186771968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37292935680).

19186771968 is an abundant number, since it is smaller than the sum of its proper divisors (55399099392).

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

19186771968 is a wasteful number, since it uses less digits than its factorization.

19186771968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 97 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 63.

The spelling of 19186771968 in words is "nineteen billion, one hundred eighty-six million, seven hundred seventy-one thousand, nine hundred sixty-eight".