47785881600 has 468 divisors, whose sum is σ = 180233125800. Its totient is φ = 12067799040.

The previous prime is 47785881593. The next prime is 47785881613. The reversal of 47785881600 is 618858774.

It is a happy number.

47785881600 is a `hidden beast` number, since 47 + 7 + 8 + 588 + 16 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17509036 + ... + 17511764.

Almost surely, 2^47785881600 is an apocalyptic number.

47785881600 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 47785881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90116562900).

47785881600 is an abundant number, since it is smaller than the sum of its proper divisors (132447244200).

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

47785881600 is a wasteful number, since it uses less digits than its factorization.

47785881600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2788 (or 2758 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 47785881600 in words is "forty-seven billion, seven hundred eighty-five million, eight hundred eighty-one thousand, six hundred".