197891512000 has 224 divisors, whose sum is σ = 603175547520. Its totient is φ = 62629171200.

The previous prime is 197891511977. The next prime is 197891512033. The reversal of 197891512000 is 215198791.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×197891512000² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 592086 + ... + 863914.

It is an arithmetic number, because the mean of its divisors is an integer number (2692747980).

Almost surely, 2^197891512000 is an apocalyptic number.

197891512000 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 197891512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301587773760).

197891512000 is an abundant number, since it is smaller than the sum of its proper divisors (405284035520).

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

197891512000 is a wasteful number, since it uses less digits than its factorization.

197891512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271876 (or 271856 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 43.

The spelling of 197891512000 in words is "one hundred ninety-seven billion, eight hundred ninety-one million, five hundred twelve thousand".