201259192680 has 768 divisors, whose sum is σ = 875519124480. Its totient is φ = 38881492992.

The previous prime is 201259192661. The next prime is 201259192681. The reversal of 201259192680 is 86291952102.

It is a happy number.

201259192680 is a `hidden beast` number, since 20 + 12 + 591 + 9 + 26 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (201259192681) by changing a digit.

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, 20601157 + ... + 20610923.

It is an arithmetic number, because the mean of its divisors is an integer number (1139998860).

Almost surely, 2^201259192680 is an apocalyptic number.

201259192680 is a gapful number since it is divisible by the number (20) 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 201259192680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437759562240).

201259192680 is an abundant number, since it is smaller than the sum of its proper divisors (674259931800).

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

201259192680 is a wasteful number, since it uses less digits than its factorization.

201259192680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9858 (or 9851 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 201259192680 in words is "two hundred one billion, two hundred fifty-nine million, one hundred ninety-two thousand, six hundred eighty".