291391212960 has 144 divisors (see below), whose sum is σ = 995064950880. Its totient is φ = 77650214400.

The previous prime is 291391212953. The next prime is 291391212967. The reversal of 291391212960 is 69212193192.

291391212960 is a `hidden beast` number, since 291 + 3 + 91 + 212 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (291391212953) and next prime (291391212967).

It is a tau number, because it is divible by the number of its divisors (144).

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 (291391212967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2019711 + ... + 2159169.

It is an arithmetic number, because the mean of its divisors is an integer number (6910173270).

Almost surely, 2^291391212960 is an apocalyptic number.

291391212960 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 291391212960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497532475440).

291391212960 is an abundant number, since it is smaller than the sum of its proper divisors (703673737920).

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

291391212960 is a wasteful number, since it uses less digits than its factorization.

291391212960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140931 (or 140920 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 291391212960 in words is "two hundred ninety-one billion, three hundred ninety-one million, two hundred twelve thousand, nine hundred sixty".