19948927824 has 360 divisors, whose sum is σ = 68630732352. Its totient is φ = 5382558720.

The previous prime is 19948927819. The next prime is 19948927909. The reversal of 19948927824 is 42872984991.

It is a super-2 number, since 2×19948927824² (a number of 21 digits) contains 22 as substring.

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.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13469164 + ... + 13470644.

Almost surely, 2^19948927824 is an apocalyptic number.

19948927824 is a gapful number since it is divisible by the number (14) 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 19948927824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34315366176).

19948927824 is an abundant number, since it is smaller than the sum of its proper divisors (48681804528).

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

19948927824 is a wasteful number, since it uses less digits than its factorization.

19948927824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615 (or 1599 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 63.

The spelling of 19948927824 in words is "nineteen billion, nine hundred forty-eight million, nine hundred twenty-seven thousand, eight hundred twenty-four".