19725963600 has 480 divisors, whose sum is σ = 77238199296. Its totient is φ = 4200652800.

The previous prime is 19725963581. The next prime is 19725963611. The reversal of 19725963600 is 636952791.

It is a super-2 number, since 2×19725963600² (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 19725963600.

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, 15278955 + ... + 15280245.

Almost surely, 2^19725963600 is an apocalyptic number.

19725963600 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 19725963600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38619099648).

19725963600 is an abundant number, since it is smaller than the sum of its proper divisors (57512235696).

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

19725963600 is a wasteful number, since it uses less digits than its factorization.

19725963600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1443 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 48.

The spelling of 19725963600 in words is "nineteen billion, seven hundred twenty-five million, nine hundred sixty-three thousand, six hundred".