47561230080 has 1080 divisors, whose sum is σ = 212447358816. Its totient is φ = 9893560320.

The previous prime is 47561230051. The next prime is 47561230081. The reversal of 47561230080 is 8003216574.

47561230080 is a `hidden beast` number, since 4 + 7 + 5 + 612 + 30 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47561230081) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 669876445 + ... + 669876515.

Almost surely, 2^47561230080 is an apocalyptic number.

47561230080 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 47561230080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106223679408).

47561230080 is an abundant number, since it is smaller than the sum of its proper divisors (164886128736).

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

47561230080 is an equidigital number, since it uses as much as digits as its factorization.

47561230080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 101 counting only the distinct ones).

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

The spelling of 47561230080 in words is "forty-seven billion, five hundred sixty-one million, two hundred thirty thousand, eighty".