47656252800 has 480 divisors, whose sum is σ = 189403294080. Its totient is φ = 11729940480.

The previous prime is 47656252757. The next prime is 47656252817. The reversal of 47656252800 is 825265674.

47656252800 is a `hidden beast` number, since 4 + 7 + 6 + 562 + 5 + 2 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×47656252800² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3362529 + ... + 3376671.

It is an arithmetic number, because the mean of its divisors is an integer number (394590196).

Almost surely, 2^47656252800 is an apocalyptic number.

47656252800 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 47656252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94701647040).

47656252800 is an abundant number, since it is smaller than the sum of its proper divisors (141747041280).

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

47656252800 is a wasteful number, since it uses less digits than its factorization.

47656252800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14192 (or 14166 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 47656252800 in words is "forty-seven billion, six hundred fifty-six million, two hundred fifty-two thousand, eight hundred".