198721018800720 has 400 divisors, whose sum is σ = 787001180731920. Its totient is φ = 46038534340608.

The previous prime is 198721018800701. The next prime is 198721018800743. The reversal of 198721018800720 is 27008810127891.

198721018800720 is digitally balanced in base 2, base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2037980736 + 198718980819984 = 45144^2 + 14096772^2 .

It is a super-2 number, since 2×198721018800720² (a number of 29 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 67949875 + ... + 70814034.

Almost surely, 2^{198721018800720} is an apocalyptic number.

198721018800720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

198721018800720 is an abundant number, since it is smaller than the sum of its proper divisors (588280161931200).

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

198721018800720 is a wasteful number, since it uses less digits than its factorization.

198721018800720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138763964 (or 138763949 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 54.

The spelling of 198721018800720 in words is "one hundred ninety-eight trillion, seven hundred twenty-one billion, eighteen million, eight hundred thousand, seven hundred twenty".