47956608000 has 1056 divisors, whose sum is σ = 208562115840. Its totient is φ = 10351411200.

The previous prime is 47956607989. The next prime is 47956608041. The reversal of 47956608000 is 80665974.

47956608000 is a `hidden beast` number, since 4 + 7 + 9 + 566 + 0 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 153215844 + ... + 153216156.

Almost surely, 2^47956608000 is an apocalyptic number.

47956608000 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 47956608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104281057920).

47956608000 is an abundant number, since it is smaller than the sum of its proper divisors (160605507840).

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

47956608000 is a wasteful number, since it uses less digits than its factorization.

47956608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 47956608000 in words is "forty-seven billion, nine hundred fifty-six million, six hundred eight thousand".