47920824000 has 1512 divisors, whose sum is σ = 216334677312. Its totient is φ = 10089676800.

The previous prime is 47920823999. The next prime is 47920824013. The reversal of 47920824000 is 42802974.

47920824000 is a `hidden beast` number, since 47 + 9 + 208 + 2 + 400 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1019591977 + ... + 1019592023.

Almost surely, 2^47920824000 is an apocalyptic number.

47920824000 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 47920824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108167338656).

47920824000 is an abundant number, since it is smaller than the sum of its proper divisors (168413853312).

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

47920824000 is a wasteful number, since it uses less digits than its factorization.

47920824000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 47920824000 in words is "forty-seven billion, nine hundred twenty million, eight hundred twenty-four thousand".