47475054167040 has 1056 divisors, whose sum is σ = 181074119466240. Its totient is φ = 11885840695296.

The previous prime is 47475054167017. The next prime is 47475054167041. The reversal of 47475054167040 is 4076145057474.

47475054167040 is a `hidden beast` number, since 4 + 7 + 4 + 7 + 50 + 541 + 6 + 7 + 0 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (47475054167041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9285163524 + ... + 9285168636.

It is an arithmetic number, because the mean of its divisors is an integer number (171471704040).

Almost surely, 2^{47475054167040} is an apocalyptic number.

47475054167040 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 47475054167040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90537059733120).

47475054167040 is an abundant number, since it is smaller than the sum of its proper divisors (133599065299200).

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

47475054167040 is a wasteful number, since it uses less digits than its factorization.

47475054167040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5609 (or 5579 counting only the distinct ones).

The product of its (nonzero) digits is 13171200, while the sum is 54.

The spelling of 47475054167040 in words is "forty-seven trillion, four hundred seventy-five billion, fifty-four million, one hundred sixty-seven thousand, forty".