19917077040 has 960 divisors, whose sum is σ = 84494592000. Its totient is φ = 4352818176.

The previous prime is 19917077029. The next prime is 19917077041. The reversal of 19917077040 is 4077071991.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19917077041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 193369629 + ... + 193369731.

It is an arithmetic number, because the mean of its divisors is an integer number (88015200).

Almost surely, 2^19917077040 is an apocalyptic number.

19917077040 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 19917077040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42247296000).

19917077040 is an abundant number, since it is smaller than the sum of its proper divisors (64577514960).

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

19917077040 is a wasteful number, since it uses less digits than its factorization.

19917077040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 45.

The spelling of 19917077040 in words is "nineteen billion, nine hundred seventeen million, seventy-seven thousand, forty".