47079051102720 has 5760 divisors, whose sum is σ = 230352893971200. Its totient is φ = 9156030234624.

The previous prime is 47079051102719. The next prime is 47079051102793. The reversal of 47079051102720 is 2720115097074.

47079051102720 is a `hidden beast` number, since 4 + 7 + 0 + 7 + 90 + 511 + 0 + 27 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 575 ways as a sum of consecutive naturals, for example, 1272406786542 + ... + 1272406786578.

It is an arithmetic number, because the mean of its divisors is an integer number (39991821870).

Almost surely, 2^{47079051102720} is an apocalyptic number.

47079051102720 is a gapful number since it is divisible by the number (40) 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 47079051102720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115176446985600).

47079051102720 is an abundant number, since it is smaller than the sum of its proper divisors (183273842868480).

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

47079051102720 is an equidigital number, since it uses as much as digits as its factorization.

47079051102720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

Adding to 47079051102720 its reverse (2720115097074), we get a palindrome (49799166199794).

The spelling of 47079051102720 in words is "forty-seven trillion, seventy-nine billion, fifty-one million, one hundred two thousand, seven hundred twenty".