47545966424880 has 3840 divisors, whose sum is σ = 225367375564800. Its totient is φ = 8986617446400.

The previous prime is 47545966424857. The next prime is 47545966424909. The reversal of 47545966424880 is 8842466954574.

47545966424880 is a `hidden beast` number, since 4 + 7 + 5 + 4 + 596 + 6 + 4 + 24 + 8 + 8 + 0 = 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 = 47545966424799 and 47545966424808.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 104039313612 + ... + 104039314068.

It is an arithmetic number, because the mean of its divisors is an integer number (58689420720).

Almost surely, 2^{47545966424880} is an apocalyptic number.

47545966424880 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 47545966424880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112683687782400).

47545966424880 is an abundant number, since it is smaller than the sum of its proper divisors (177821409139920).

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

47545966424880 is a wasteful number, since it uses less digits than its factorization.

47545966424880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 1857945600, while the sum is 72.

The spelling of 47545966424880 in words is "forty-seven trillion, five hundred forty-five billion, nine hundred sixty-six million, four hundred twenty-four thousand, eight hundred eighty".