47057824800 has 504 divisors, whose sum is σ = 196864024896. Its totient is φ = 10755141120.

The previous prime is 47057824789. The next prime is 47057824813. The reversal of 47057824800 is 842875074.

47057824800 is a `hidden beast` number, since 4 + 70 + 578 + 2 + 4 + 8 + 0 + 0 = 666.

47057824800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 4076637 + ... + 4088163.

It is an arithmetic number, because the mean of its divisors is an integer number (390603224).

Almost surely, 2^47057824800 is an apocalyptic number.

47057824800 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 47057824800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98432012448).

47057824800 is an abundant number, since it is smaller than the sum of its proper divisors (149806200096).

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

47057824800 is a wasteful number, since it uses less digits than its factorization.

47057824800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11572 (or 11544 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 47057824800 in words is "forty-seven billion, fifty-seven million, eight hundred twenty-four thousand, eight hundred".