47660760141120 has 1792 divisors, whose sum is σ = 202290600345600. Its totient is φ = 10335237120000.

The previous prime is 47660760141119. The next prime is 47660760141161. The reversal of 47660760141120 is 2114106706674.

47660760141120 is a `hidden beast` number, since 4 + 7 + 6 + 6 + 0 + 7 + 601 + 4 + 11 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 22365442455 + ... + 22365444585.

Almost surely, 2^{47660760141120} is an apocalyptic number.

47660760141120 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 47660760141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101145300172800).

47660760141120 is an abundant number, since it is smaller than the sum of its proper divisors (154629840204480).

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

47660760141120 is a wasteful number, since it uses less digits than its factorization.

47660760141120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2425 (or 2409 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

Adding to 47660760141120 its reverse (2114106706674), we get a palindrome (49774866847794).

The spelling of 47660760141120 in words is "forty-seven trillion, six hundred sixty billion, seven hundred sixty million, one hundred forty-one thousand, one hundred twenty".