47695085354880 has 768 divisors, whose sum is σ = 171002725171200. Its totient is φ = 12236772556800.

The previous prime is 47695085354867. The next prime is 47695085354899. The reversal of 47695085354880 is 8845358059674.

47695085354880 is a `hidden beast` number, since 4 + 7 + 6 + 9 + 5 + 0 + 8 + 535 + 4 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 47695085354799 and 47695085354808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25491760345 + ... + 25491762215.

It is an arithmetic number, because the mean of its divisors is an integer number (222659798400).

Almost surely, 2^{47695085354880} is an apocalyptic number.

47695085354880 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 47695085354880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85501362585600).

47695085354880 is an abundant number, since it is smaller than the sum of its proper divisors (123307639816320).

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

47695085354880 is a wasteful number, since it uses less digits than its factorization.

47695085354880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2683 (or 2668 counting only the distinct ones).

The product of its (nonzero) digits is 1161216000, while the sum is 72.

The spelling of 47695085354880 in words is "forty-seven trillion, six hundred ninety-five billion, eighty-five million, three hundred fifty-four thousand, eight hundred eighty".