19952593920 has 1056 divisors, whose sum is σ = 85836441600. Its totient is φ = 4347592704.

The previous prime is 19952593901. The next prime is 19952593963. The reversal of 19952593920 is 2939525991.

It is a happy number.

19952593920 is a `hidden beast` number, since 1 + 9 + 9 + 525 + 93 + 9 + 20 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 252564441 + ... + 252564519.

Almost surely, 2^19952593920 is an apocalyptic number.

19952593920 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 19952593920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42918220800).

19952593920 is an abundant number, since it is smaller than the sum of its proper divisors (65883847680).

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

19952593920 is an equidigital number, since it uses as much as digits as its factorization.

19952593920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1968300, while the sum is 54.

The spelling of 19952593920 in words is "nineteen billion, nine hundred fifty-two million, five hundred ninety-three thousand, nine hundred twenty".