47872526720 has 128 divisors (see below), whose sum is σ = 116575351200. Its totient is φ = 18794004480.

The previous prime is 47872526717. The next prime is 47872526747. The reversal of 47872526720 is 2762527874.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×47872526720² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22915436 + ... + 22917524.

Almost surely, 2^47872526720 is an apocalyptic number.

47872526720 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 47872526720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58287675600).

47872526720 is an abundant number, since it is smaller than the sum of its proper divisors (68702824480).

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

47872526720 is a wasteful number, since it uses less digits than its factorization.

47872526720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2756 (or 2744 counting only the distinct ones).

The product of its (nonzero) digits is 2634240, while the sum is 50.

The spelling of 47872526720 in words is "forty-seven billion, eight hundred seventy-two million, five hundred twenty-six thousand, seven hundred twenty".