47852237496960 has 640 divisors, whose sum is σ = 184092537404160. Its totient is φ = 11775284305920.

The previous prime is 47852237496949. The next prime is 47852237496977. The reversal of 47852237496960 is 6969473225874.

47852237496960 is a `hidden beast` number, since 4 + 7 + 8 + 52 + 23 + 7 + 496 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2562908425 + ... + 2562927095.

It is an arithmetic number, because the mean of its divisors is an integer number (287644589694).

Almost surely, 2^{47852237496960} is an apocalyptic number.

47852237496960 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 47852237496960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92046268702080).

47852237496960 is an abundant number, since it is smaller than the sum of its proper divisors (136240299907200).

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

47852237496960 is a wasteful number, since it uses less digits than its factorization.

47852237496960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22518 (or 22497 counting only the distinct ones).

The product of its (nonzero) digits is 1097349120, while the sum is 72.

The spelling of 47852237496960 in words is "forty-seven trillion, eight hundred fifty-two billion, two hundred thirty-seven million, four hundred ninety-six thousand, nine hundred sixty".