19952833152 has 128 divisors (see below), whose sum is σ = 60636764160. Its totient is φ = 5694630912.

The previous prime is 19952833151. The next prime is 19952833171. The reversal of 19952833152 is 25133825991.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (19952833151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2853853 + ... + 2860835.

It is an arithmetic number, because the mean of its divisors is an integer number (473724720).

Almost surely, 2^19952833152 is an apocalyptic number.

19952833152 is a gapful number since it is divisible by the number (12) 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 19952833152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30318382080).

19952833152 is an abundant number, since it is smaller than the sum of its proper divisors (40683931008).

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

19952833152 is a wasteful number, since it uses less digits than its factorization.

19952833152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8070 (or 8058 counting only the distinct ones).

The product of its digits is 583200, while the sum is 48.

The spelling of 19952833152 in words is "nineteen billion, nine hundred fifty-two million, eight hundred thirty-three thousand, one hundred fifty-two".