198773037987120 has 240 divisors, whose sum is σ = 697623714171072. Its totient is φ = 50624821463040.

The previous prime is 198773037986989. The next prime is 198773037987131. The reversal of 198773037987120 is 21789730377891.

198773037987120 is a `hidden beast` number, since 1 + 98 + 7 + 73 + 0 + 379 + 87 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1866582 + ... + 20025738.

Almost surely, 2^{198773037987120} is an apocalyptic number.

198773037987120 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 198773037987120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348811857085536).

198773037987120 is an abundant number, since it is smaller than the sum of its proper divisors (498850676183952).

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

198773037987120 is a wasteful number, since it uses less digits than its factorization.

198773037987120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18159860 (or 18159851 counting only the distinct ones).

The product of its (nonzero) digits is 224042112, while the sum is 72.

The spelling of 198773037987120 in words is "one hundred ninety-eight trillion, seven hundred seventy-three billion, thirty-seven million, nine hundred eighty-seven thousand, one hundred twenty".