47961117360 has 400 divisors, whose sum is σ = 180354081600. Its totient is φ = 11742382080.

The previous prime is 47961117319. The next prime is 47961117361. The reversal of 47961117360 is 6371116974.

47961117360 is a `hidden beast` number, since 479 + 6 + 1 + 1 + 173 + 6 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (47961117361) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16762330 + ... + 16765190.

It is an arithmetic number, because the mean of its divisors is an integer number (450885204).

Almost surely, 2^47961117360 is an apocalyptic number.

47961117360 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 47961117360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90177040800).

47961117360 is an abundant number, since it is smaller than the sum of its proper divisors (132392964240).

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

47961117360 is a wasteful number, since it uses less digits than its factorization.

47961117360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3098 (or 3083 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 47961117360 in words is "forty-seven billion, nine hundred sixty-one million, one hundred seventeen thousand, three hundred sixty".