47455541022960 has 1920 divisors, whose sum is σ = 203350634726400. Its totient is φ = 10113169489920.

The previous prime is 47455541022949. The next prime is 47455541022973. The reversal of 47455541022960 is 6922014555474.

47455541022960 is a `hidden beast` number, since 4 + 7 + 4 + 5 + 5 + 541 + 0 + 2 + 2 + 96 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 47455541022897 and 47455541022906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 41158317744 + ... + 41158318896.

It is an arithmetic number, because the mean of its divisors is an integer number (105911788920).

Almost surely, 2^{47455541022960} is an apocalyptic number.

47455541022960 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 47455541022960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101675317363200).

47455541022960 is an abundant number, since it is smaller than the sum of its proper divisors (155895093703440).

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

47455541022960 is a wasteful number, since it uses less digits than its factorization.

47455541022960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516 (or 1497 counting only the distinct ones).

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

The spelling of 47455541022960 in words is "forty-seven trillion, four hundred fifty-five billion, five hundred forty-one million, twenty-two thousand, nine hundred sixty".