19935393408 has 768 divisors, whose sum is σ = 73661952000. Its totient is φ = 5240401920.

The previous prime is 19935393397. The next prime is 19935393421. The reversal of 19935393408 is 80439353991.

It is a happy number.

19935393408 is a `hidden beast` number, since 19 + 93 + 53 + 93 + 408 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 252346713 + ... + 252346791.

It is an arithmetic number, because the mean of its divisors is an integer number (95914000).

Almost surely, 2^19935393408 is an apocalyptic number.

19935393408 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 19935393408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36830976000).

19935393408 is an abundant number, since it is smaller than the sum of its proper divisors (53726558592).

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

19935393408 is an equidigital number, since it uses as much as digits as its factorization.

19935393408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 19935393408 in words is "nineteen billion, nine hundred thirty-five million, three hundred ninety-three thousand, four hundred eight".