47858428800 has 960 divisors, whose sum is σ = 217470976800. Its totient is φ = 10092625920.

The previous prime is 47858428799. The next prime is 47858428801. The reversal of 47858428800 is 882485874.

47858428800 is a `hidden beast` number, since 478 + 58 + 42 + 8 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (47858428799) and next prime (47858428801).

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-3 number, since 3×47858428800³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47858428801) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 23586186 + ... + 23588214.

Almost surely, 2^47858428800 is an apocalyptic number.

47858428800 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 47858428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108735488400).

47858428800 is an abundant number, since it is smaller than the sum of its proper divisors (169612548000).

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

47858428800 is a wasteful number, since it uses less digits than its factorization.

47858428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2085 (or 2059 counting only the distinct ones).

The product of its (nonzero) digits is 4587520, while the sum is 54.

The spelling of 47858428800 in words is "forty-seven billion, eight hundred fifty-eight million, four hundred twenty-eight thousand, eight hundred".