197052827811840 has 8640 divisors, whose sum is σ = 1023364180500480. Its totient is φ = 35315829964800.

The previous prime is 197052827811823. The next prime is 197052827811859. The reversal of 197052827811840 is 48118728250791.

197052827811840 is a `hidden beast` number, since 1 + 9 + 7 + 0 + 528 + 27 + 8 + 1 + 1 + 84 + 0 = 666.

197052827811840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (8640).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 6356542832625 + ... + 6356542832655.

Almost surely, 2^{197052827811840} is an apocalyptic number.

197052827811840 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 197052827811840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511682090250240).

197052827811840 is an abundant number, since it is smaller than the sum of its proper divisors (826311352688640).

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

197052827811840 is a wasteful number, since it uses less digits than its factorization.

197052827811840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 63.

The spelling of 197052827811840 in words is "one hundred ninety-seven trillion, fifty-two billion, eight hundred twenty-seven million, eight hundred eleven thousand, eight hundred forty".