47869315200 has 720 divisors, whose sum is σ = 205543359450. Its totient is φ = 10938654720.

The previous prime is 47869315163. The next prime is 47869315201. The reversal of 47869315200 is 251396874.

47869315200 is a `hidden beast` number, since 4 + 78 + 69 + 315 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 42077496384 + 5791818816 = 205128^2 + 76104^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (47869315201) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 12698916 + ... + 12702684.

It is a 1-persistent number, because it is pandigital, but 2⋅47869315200 = 95738630400 is not.

Almost surely, 2^47869315200 is an apocalyptic number.

47869315200 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 47869315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102771679725).

47869315200 is an abundant number, since it is smaller than the sum of its proper divisors (157674044250).

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

47869315200 is a wasteful number, since it uses less digits than its factorization.

47869315200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3819 (or 3786 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 47869315200 in words is "forty-seven billion, eight hundred sixty-nine million, three hundred fifteen thousand, two hundred".