791853334272 has 1458 divisors, whose sum is σ = 3170299421016. Its totient is φ = 189854945280.

The previous prime is 791853334231. The next prime is 791853334373. The reversal of 791853334272 is 272433358197.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

791853334272 is a `hidden beast` number, since 7 + 9 + 1 + 8 + 533 + 34 + 2 + 72 = 666.

Its product of digits (7620480) is a multiple of the sum of its prime divisors (36).

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 161 ways as a sum of consecutive naturals, for example, 60911794938 + ... + 60911794950.

Almost surely, 2^791853334272 is an apocalyptic number.

791853334272 is a gapful number since it is divisible by the number (72) 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 791853334272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585149710508).

791853334272 is an abundant number, since it is smaller than the sum of its proper divisors (2378446086744).

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

791853334272 is an equidigital number, since it uses as much as digits as its factorization.

791853334272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 36 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The spelling of 791853334272 in words is "seven hundred ninety-one billion, eight hundred fifty-three million, three hundred thirty-four thousand, two hundred seventy-two".