197957878272 has 480 divisors, whose sum is σ = 714213751680. Its totient is φ = 51279298560.

The previous prime is 197957878231. The next prime is 197957878289. The reversal of 197957878272 is 272878759791.

197957878272 is a `hidden beast` number, since 197 + 95 + 7 + 87 + 8 + 272 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 197957878272.

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, 238790754 + ... + 238791582.

It is an arithmetic number, because the mean of its divisors is an integer number (1487945316).

Almost surely, 2^197957878272 is an apocalyptic number.

197957878272 is a gapful number since it is divisible by the number (12) 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 197957878272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357106875840).

197957878272 is an abundant number, since it is smaller than the sum of its proper divisors (516255873408).

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

197957878272 is a wasteful number, since it uses less digits than its factorization.

197957878272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1544 (or 1525 counting only the distinct ones).

The product of its digits is 248935680, while the sum is 72.

The spelling of 197957878272 in words is "one hundred ninety-seven billion, nine hundred fifty-seven million, eight hundred seventy-eight thousand, two hundred seventy-two".