291678589100080 has 640 divisors, whose sum is σ = 887753740124160. Its totient is φ = 86606554890240.

The previous prime is 291678589100051. The next prime is 291678589100083. The reversal of 291678589100080 is 80001985876192.

It is a junction number, because it is equal to n+sod(n) for n = 291678589099985 and 291678589100021.

It is not an unprimeable number, because it can be changed into a prime (291678589100083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2212318801 + ... + 2212450639.

It is an arithmetic number, because the mean of its divisors is an integer number (1387115218944).

Almost surely, 2^{291678589100080} is an apocalyptic number.

291678589100080 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 291678589100080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443876870062080).

291678589100080 is an abundant number, since it is smaller than the sum of its proper divisors (596075151024080).

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

291678589100080 is a wasteful number, since it uses less digits than its factorization.

291678589100080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132149 (or 132143 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 64.

The spelling of 291678589100080 in words is "two hundred ninety-one trillion, six hundred seventy-eight billion, five hundred eighty-nine million, one hundred thousand, eighty".