47709765120 has 160 divisors (see below), whose sum is σ = 152946782208. Its totient is φ = 12687187968.

The previous prime is 47709765031. The next prime is 47709765127. The reversal of 47709765120 is 2156790774.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×47709765120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 47709765120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47709765127) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2810097 + ... + 2827023.

Almost surely, 2^47709765120 is an apocalyptic number.

47709765120 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 47709765120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76473391104).

47709765120 is an abundant number, since it is smaller than the sum of its proper divisors (105237017088).

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

47709765120 is a wasteful number, since it uses less digits than its factorization.

47709765120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17320 (or 17304 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 48.

The spelling of 47709765120 in words is "forty-seven billion, seven hundred nine million, seven hundred sixty-five thousand, one hundred twenty".