47951193888000 has 4032 divisors, whose sum is σ = 208676060296704. Its totient is φ = 10868981760000.

The previous prime is 47951193887959. The next prime is 47951193888029. The reversal of 47951193888000 is 88839115974.

47951193888000 is a `hidden beast` number, since 4 + 7 + 9 + 511 + 9 + 38 + 8 + 80 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 366039647935 + ... + 366039648065.

It is an arithmetic number, because the mean of its divisors is an integer number (51754975272).

Almost surely, 2^{47951193888000} is an apocalyptic number.

47951193888000 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 47951193888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104338030148352).

47951193888000 is an abundant number, since it is smaller than the sum of its proper divisors (160724866408704).

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

47951193888000 is a wasteful number, since it uses less digits than its factorization.

47951193888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 63.

The spelling of 47951193888000 in words is "forty-seven trillion, nine hundred fifty-one billion, one hundred ninety-three million, eight hundred eighty-eight thousand".