19955052000 has 768 divisors, whose sum is σ = 79847389440. Its totient is φ = 4810752000.

The previous prime is 19955051983. The next prime is 19955052001. The reversal of 19955052000 is 25055991.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19955052001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 85643884 + ... + 85644116.

It is an arithmetic number, because the mean of its divisors is an integer number (103967955).

Almost surely, 2^19955052000 is an apocalyptic number.

19955052000 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 19955052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39923694720).

19955052000 is an abundant number, since it is smaller than the sum of its proper divisors (59892337440).

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

19955052000 is a wasteful number, since it uses less digits than its factorization.

19955052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 20250, while the sum is 36.

The spelling of 19955052000 in words is "nineteen billion, nine hundred fifty-five million, fifty-two thousand".