47735856000 has 1536 divisors, whose sum is σ = 214468300800. Its totient is φ = 9934848000.

The previous prime is 47735855989. The next prime is 47735856043. The reversal of 47735856000 is 65853774.

47735856000 is a `hidden beast` number, since 4 + 7 + 7 + 3 + 585 + 60 + 0 + 0 = 666.

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

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 672335965 + ... + 672336035.

It is an arithmetic number, because the mean of its divisors is an integer number (139627800).

Almost surely, 2^47735856000 is an apocalyptic number.

47735856000 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 47735856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107234150400).

47735856000 is an abundant number, since it is smaller than the sum of its proper divisors (166732444800).

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

47735856000 is a wasteful number, since it uses less digits than its factorization.

47735856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 47735856000 in words is "forty-seven billion, seven hundred thirty-five million, eight hundred fifty-six thousand".