47982816000 has 432 divisors, whose sum is σ = 197329624128. Its totient is φ = 10967040000.

The previous prime is 47982815987. The next prime is 47982816017. The reversal of 47982816000 is 61828974.

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 47 ways as a sum of consecutive naturals, for example, 2004100 + ... + 2027900.

Almost surely, 2^47982816000 is an apocalyptic number.

47982816000 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 47982816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98664812064).

47982816000 is an abundant number, since it is smaller than the sum of its proper divisors (149346808128).

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

47982816000 is a wasteful number, since it uses less digits than its factorization.

47982816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23845 (or 23818 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 47982816000 in words is "forty-seven billion, nine hundred eighty-two million, eight hundred sixteen thousand".