47735728588800 has 864 divisors, whose sum is σ = 195519957796800. Its totient is φ = 10903256432640.

The previous prime is 47735728588799. The next prime is 47735728588813. The reversal of 47735728588800 is 888582753774.

47735728588800 is a `hidden beast` number, since 4 + 7 + 7 + 35 + 7 + 2 + 8 + 588 + 8 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5383521967 + ... + 5383530833.

It is an arithmetic number, because the mean of its divisors is an integer number (226296247450).

Almost surely, 2^{47735728588800} is an apocalyptic number.

47735728588800 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 47735728588800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97759978898400).

47735728588800 is an abundant number, since it is smaller than the sum of its proper divisors (147784229208000).

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

47735728588800 is a wasteful number, since it uses less digits than its factorization.

47735728588800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10581 (or 10553 counting only the distinct ones).

The product of its (nonzero) digits is 842956800, while the sum is 72.

The spelling of 47735728588800 in words is "forty-seven trillion, seven hundred thirty-five billion, seven hundred twenty-eight million, five hundred eighty-eight thousand, eight hundred".