47327216133120 has 352 divisors, whose sum is σ = 188724962036736. Its totient is φ = 9834226483200.

The previous prime is 47327216133089. The next prime is 47327216133193. The reversal of 47327216133120 is 2133161272374.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×47327216133120² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) 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 (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18825066 + ... + 21190505.

Almost surely, 2^{47327216133120} is an apocalyptic number.

47327216133120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47327216133120 is an abundant number, since it is smaller than the sum of its proper divisors (141397745903616).

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

47327216133120 is a wasteful number, since it uses less digits than its factorization.

47327216133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40015617 (or 40015599 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The spelling of 47327216133120 in words is "forty-seven trillion, three hundred twenty-seven billion, two hundred sixteen million, one hundred thirty-three thousand, one hundred twenty".