791261872128000 has 5292 divisors, whose sum is σ = 3729927647867148. Its totient is φ = 166947559833600.

The previous prime is 791261872127977. The next prime is 791261872128017. The reversal of 791261872128000 is 821278162197.

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.

791261872128000 is a `hidden beast` number, since 7 + 9 + 1 + 2 + 618 + 7 + 2 + 12 + 8 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 557497832177664 + 233764039950336 = 23611392^2 + 15289344^2 .

It is a tau number, because it is divible by the number of its divisors (5292).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 60866297855994 + ... + 60866297856006.

It is an arithmetic number, because the mean of its divisors is an integer number (704823818569).

Almost surely, 2^{791261872128000} is an apocalyptic number.

791261872128000 is a gapful number since it is divisible by the number (70) 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 791261872128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1864963823933574).

791261872128000 is an abundant number, since it is smaller than the sum of its proper divisors (2938665775739148).

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

791261872128000 is an frugal number, since it uses more digits than its factorization.

791261872128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The spelling of 791261872128000 in words is "seven hundred ninety-one trillion, two hundred sixty-one billion, eight hundred seventy-two million, one hundred twenty-eight thousand".