197057576652552 has 768 divisors, whose sum is σ = 719888568422400. Its totient is φ = 47163086530560.

The previous prime is 197057576652463. The next prime is 197057576652593. The reversal of 197057576652552 is 255256675750791.

197057576652552 is a `hidden beast` number, since 1 + 9 + 7 + 0 + 5 + 7 + 5 + 7 + 6 + 65 + 2 + 552 = 666.

It is a super-2 number, since 2×197057576652552² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1638086518 + ... + 1638206810.

It is an arithmetic number, because the mean of its divisors is an integer number (937354906800).

Almost surely, 2^{197057576652552} is an apocalyptic number.

197057576652552 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 197057576652552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359944284211200).

197057576652552 is an abundant number, since it is smaller than the sum of its proper divisors (522830991769848).

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

197057576652552 is a wasteful number, since it uses less digits than its factorization.

197057576652552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120818 (or 120811 counting only the distinct ones).

The product of its (nonzero) digits is 1389150000, while the sum is 72.

The spelling of 197057576652552 in words is "one hundred ninety-seven trillion, fifty-seven billion, five hundred seventy-six million, six hundred fifty-two thousand, five hundred fifty-two".