47221665120 has 1152 divisors, whose sum is σ = 205001072640. Its totient is φ = 10032906240.

The previous prime is 47221665059. The next prime is 47221665133. The reversal of 47221665120 is 2156612274.

It is a happy number.

47221665120 is a `hidden beast` number, since 472 + 2 + 1 + 6 + 65 + 120 = 666.

It is a super-2 number, since 2×47221665120² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 244671744 + ... + 244671936.

It is an arithmetic number, because the mean of its divisors is an integer number (177952320).

Almost surely, 2^47221665120 is an apocalyptic number.

47221665120 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 47221665120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102500536320).

47221665120 is an abundant number, since it is smaller than the sum of its proper divisors (157779407520).

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

47221665120 is a wasteful number, since it uses less digits than its factorization.

47221665120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 47221665120 in words is "forty-seven billion, two hundred twenty-one million, six hundred sixty-five thousand, one hundred twenty".