47527825206400 has 384 divisors, whose sum is σ = 146462173499520. Its totient is φ = 14805504000000.

The previous prime is 47527825206343. The next prime is 47527825206413. The reversal of 47527825206400 is 460252872574.

47527825206400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×47527825206400² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 443712850 + ... + 443819950.

It is an arithmetic number, because the mean of its divisors is an integer number (381411910155).

Almost surely, 2^{47527825206400} is an apocalyptic number.

47527825206400 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 47527825206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73231086749760).

47527825206400 is an abundant number, since it is smaller than the sum of its proper divisors (98934348293120).

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

47527825206400 is a wasteful number, since it uses less digits than its factorization.

47527825206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108944 (or 108927 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 52.

The spelling of 47527825206400 in words is "forty-seven trillion, five hundred twenty-seven billion, eight hundred twenty-five million, two hundred six thousand, four hundred".