47965867200 has 1176 divisors, whose sum is σ = 195190475760. Its totient is φ = 11545804800.

The previous prime is 47965867199. The next prime is 47965867207. The reversal of 47965867200 is 276856974.

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 (47965867207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 812980771 + ... + 812980829.

Almost surely, 2^47965867200 is an apocalyptic number.

47965867200 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 47965867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97595237880).

47965867200 is an abundant number, since it is smaller than the sum of its proper divisors (147224608560).

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

47965867200 is a wasteful number, since it uses less digits than its factorization.

47965867200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 47965867200 in words is "forty-seven billion, nine hundred sixty-five million, eight hundred sixty-seven thousand, two hundred".