198812970720 has 960 divisors, whose sum is σ = 893493659520. Its totient is φ = 40493924352.

The previous prime is 198812970701. The next prime is 198812970739. The reversal of 198812970720 is 27079218891.

It is an interprime number because it is at equal distance from previous prime (198812970701) and next prime (198812970739).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 34198534 + ... + 34204346.

It is an arithmetic number, because the mean of its divisors is an integer number (930722562).

Almost surely, 2^198812970720 is an apocalyptic number.

198812970720 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 198812970720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446746829760).

198812970720 is an abundant number, since it is smaller than the sum of its proper divisors (694680688800).

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

198812970720 is a wasteful number, since it uses less digits than its factorization.

198812970720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5889 (or 5872 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 54.

The spelling of 198812970720 in words is "one hundred ninety-eight billion, eight hundred twelve million, nine hundred seventy thousand, seven hundred twenty".