197825104256 has 128 divisors (see below), whose sum is σ = 445300665600. Its totient is φ = 86908723200.

The previous prime is 197825104177. The next prime is 197825104273. The reversal of 197825104256 is 652401528791.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3115190 + ... + 3178058.

It is an arithmetic number, because the mean of its divisors is an integer number (3478911450).

Almost surely, 2^197825104256 is an apocalyptic number.

197825104256 is a gapful number since it is divisible by the number (16) 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 197825104256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222650332800).

197825104256 is an abundant number, since it is smaller than the sum of its proper divisors (247475561344).

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

197825104256 is a wasteful number, since it uses less digits than its factorization.

197825104256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62988 (or 62976 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 50.

The spelling of 197825104256 in words is "one hundred ninety-seven billion, eight hundred twenty-five million, one hundred four thousand, two hundred fifty-six".