47385874800 has 1260 divisors, whose sum is σ = 201167436960. Its totient is φ = 10674892800.

The previous prime is 47385874793. The next prime is 47385874819. The reversal of 47385874800 is 847858374.

It is a happy number.

47385874800 is a `hidden beast` number, since 4 + 7 + 3 + 85 + 87 + 480 + 0 = 666.

It is a super-2 number, since 2×47385874800² (a number of 22 digits) contains 22 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 an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 599821161 + ... + 599821239.

It is an arithmetic number, because the mean of its divisors is an integer number (159656696).

Almost surely, 2^47385874800 is an apocalyptic number.

47385874800 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 47385874800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100583718480).

47385874800 is an abundant number, since it is smaller than the sum of its proper divisors (153781562160).

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

47385874800 is a wasteful number, since it uses less digits than its factorization.

47385874800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 47385874800 in words is "forty-seven billion, three hundred eighty-five million, eight hundred seventy-four thousand, eight hundred".