291920085072 has 480 divisors, whose sum is σ = 1032698474496. Its totient is φ = 74777472000.

The previous prime is 291920085031. The next prime is 291920085091. The reversal of 291920085072 is 270580029192.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 518507863 + ... + 518508425.

Almost surely, 2^291920085072 is an apocalyptic number.

291920085072 is a gapful number since it is divisible by the number (22) 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 291920085072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516349237248).

291920085072 is an abundant number, since it is smaller than the sum of its proper divisors (740778389424).

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

291920085072 is a wasteful number, since it uses less digits than its factorization.

291920085072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 291920085072 in words is "two hundred ninety-one billion, nine hundred twenty million, eighty-five thousand, seventy-two".