47934096000 has 512 divisors, whose sum is σ = 182573015040. Its totient is φ = 10897920000.

The previous prime is 47934095987. The next prime is 47934096031. The reversal of 47934096000 is 69043974.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111215785 + ... + 111216215.

It is an arithmetic number, because the mean of its divisors is an integer number (356587920).

Almost surely, 2^47934096000 is an apocalyptic number.

47934096000 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 47934096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91286507520).

47934096000 is an abundant number, since it is smaller than the sum of its proper divisors (134638919040).

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

47934096000 is a wasteful number, since it uses less digits than its factorization.

47934096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The spelling of 47934096000 in words is "forty-seven billion, nine hundred thirty-four million, ninety-six thousand".