47355134561280 has 2464 divisors, whose sum is σ = 211742786755584. Its totient is φ = 9890438971392.

The previous prime is 47355134561243. The next prime is 47355134561299. The reversal of 47355134561280 is 8216543155374.

It is a happy number.

47355134561280 is a `hidden beast` number, since 4 + 7 + 3 + 5 + 5 + 13 + 4 + 5 + 612 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 36343157109 + ... + 36343158411.

Almost surely, 2^{47355134561280} is an apocalyptic number.

47355134561280 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 47355134561280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105871393377792).

47355134561280 is an abundant number, since it is smaller than the sum of its proper divisors (164387652194304).

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

47355134561280 is a wasteful number, since it uses less digits than its factorization.

47355134561280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 47355134561280 in words is "forty-seven trillion, three hundred fifty-five billion, one hundred thirty-four million, five hundred sixty-one thousand, two hundred eighty".