196825377557760 has 288 divisors, whose sum is σ = 718486115837952. Its totient is φ = 44984055767040.

The previous prime is 196825377557749. The next prime is 196825377557789. The reversal of 196825377557760 is 67755773528691.

It is a Smith number, since the sum of its digits (78) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 265930605 + ... + 266669715.

Almost surely, 2^{196825377557760} is an apocalyptic number.

196825377557760 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 196825377557760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359243057918976).

196825377557760 is an abundant number, since it is smaller than the sum of its proper divisors (521660738280192).

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

196825377557760 is an equidigital number, since it uses as much as digits as its factorization.

196825377557760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749049 (or 749035 counting only the distinct ones).

The product of its (nonzero) digits is 4667544000, while the sum is 78.

The spelling of 196825377557760 in words is "one hundred ninety-six trillion, eight hundred twenty-five billion, three hundred seventy-seven million, five hundred fifty-seven thousand, seven hundred sixty".