291116329680 has 240 divisors, whose sum is σ = 992636592192. Its totient is φ = 70525593600.

The previous prime is 291116329657. The next prime is 291116329727. The reversal of 291116329680 is 86923611192.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 62056135 + ... + 62060825.

Almost surely, 2^291116329680 is an apocalyptic number.

291116329680 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 291116329680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496318296096).

291116329680 is an abundant number, since it is smaller than the sum of its proper divisors (701520262512).

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

291116329680 is a wasteful number, since it uses less digits than its factorization.

291116329680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6866 (or 6849 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The spelling of 291116329680 in words is "two hundred ninety-one billion, one hundred sixteen million, three hundred twenty-nine thousand, six hundred eighty".