47711579520 has 256 divisors, whose sum is σ = 171629280000. Its totient is φ = 11167457280.

The previous prime is 47711579473. The next prime is 47711579533. The reversal of 47711579520 is 2597511774.

47711579520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47711579520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 573531 + ... + 651429.

It is an arithmetic number, because the mean of its divisors is an integer number (670426875).

Almost surely, 2^47711579520 is an apocalyptic number.

47711579520 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 47711579520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85814640000).

47711579520 is an abundant number, since it is smaller than the sum of its proper divisors (123917700480).

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

47711579520 is a wasteful number, since it uses less digits than its factorization.

47711579520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77961 (or 77949 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 48.

The spelling of 47711579520 in words is "forty-seven billion, seven hundred eleven million, five hundred seventy-nine thousand, five hundred twenty".