19752425000 has 384 divisors, whose sum is σ = 59756175360. Its totient is φ = 5940000000.

The previous prime is 19752424921. The next prime is 19752425009. The reversal of 19752425000 is 52425791.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19752425009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59674835 + ... + 59675165.

It is an arithmetic number, because the mean of its divisors is an integer number (155615040).

Almost surely, 2^19752425000 is an apocalyptic number.

19752425000 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 19752425000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29878087680).

19752425000 is an abundant number, since it is smaller than the sum of its proper divisors (40003750360).

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

19752425000 is a wasteful number, since it uses less digits than its factorization.

19752425000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 35.

The spelling of 19752425000 in words is "nineteen billion, seven hundred fifty-two million, four hundred twenty-five thousand".