47965824088 has 384 divisors, whose sum is σ = 125518377600. Its totient is φ = 16661790720.

The previous prime is 47965824073. The next prime is 47965824091. The reversal of 47965824088 is 88042856974.

47965824088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×47965824088² (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 95 ways as a sum of consecutive naturals, for example, 440053378 + ... + 440053486.

It is an arithmetic number, because the mean of its divisors is an integer number (326870775).

Almost surely, 2^47965824088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47965824088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62759188800).

47965824088 is an abundant number, since it is smaller than the sum of its proper divisors (77552553512).

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

47965824088 is a wasteful number, since it uses less digits than its factorization.

47965824088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 61.

The spelling of 47965824088 in words is "forty-seven billion, nine hundred sixty-five million, eight hundred twenty-four thousand, eighty-eight".