19998528000 has 640 divisors, whose sum is σ = 76939289856. Its totient is φ = 4554752000.

The previous prime is 19998527999. The next prime is 19998528029. The reversal of 19998528000 is 82589991.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×19998528000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35903722 + ... + 35904278.

Almost surely, 2^19998528000 is an apocalyptic number.

19998528000 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 19998528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38469644928).

19998528000 is an abundant number, since it is smaller than the sum of its proper divisors (56940761856).

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

19998528000 is a wasteful number, since it uses less digits than its factorization.

19998528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 51.

The spelling of 19998528000 in words is "nineteen billion, nine hundred ninety-eight million, five hundred twenty-eight thousand".