47785652460 has 1152 divisors, whose sum is σ = 201483878400. Its totient is φ = 9170703360.

The previous prime is 47785652459. The next prime is 47785652503. The reversal of 47785652460 is 6425658774.

It is a happy number.

47785652460 is a `hidden beast` number, since 4 + 7 + 7 + 8 + 56 + 524 + 60 = 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 = 47785652397 and 47785652406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 376264917 + ... + 376265043.

It is an arithmetic number, because the mean of its divisors is an integer number (174899200).

Almost surely, 2^47785652460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47785652460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100741939200).

47785652460 is an abundant number, since it is smaller than the sum of its proper divisors (153698225940).

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

47785652460 is a wasteful number, since it uses less digits than its factorization.

47785652460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 47785652460 in words is "forty-seven billion, seven hundred eighty-five million, six hundred fifty-two thousand, four hundred sixty".