47581776000 has 2048 divisors, whose sum is σ = 219967488000. Its totient is φ = 9953280000.

The previous prime is 47581775971. The next prime is 47581776007. The reversal of 47581776000 is 67718574.

47581776000 is a `hidden beast` number, since 4 + 7 + 581 + 7 + 7 + 60 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47581776007) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1534895985 + ... + 1534896015.

It is an arithmetic number, because the mean of its divisors is an integer number (107406000).

Almost surely, 2^47581776000 is an apocalyptic number.

47581776000 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 47581776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109983744000).

47581776000 is an abundant number, since it is smaller than the sum of its proper divisors (172385712000).

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

47581776000 is a wasteful number, since it uses less digits than its factorization.

47581776000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 47581776000 in words is "forty-seven billion, five hundred eighty-one million, seven hundred seventy-six thousand".