47872567600 has 480 divisors, whose sum is σ = 140362891200. Its totient is φ = 15458304000.

The previous prime is 47872567583. The next prime is 47872567657. The reversal of 47872567600 is 676527874.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 321292326 + ... + 321292474.

It is an arithmetic number, because the mean of its divisors is an integer number (292422690).

Almost surely, 2^47872567600 is an apocalyptic number.

47872567600 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 47872567600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70181445600).

47872567600 is an abundant number, since it is smaller than the sum of its proper divisors (92490323600).

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

47872567600 is a wasteful number, since it uses less digits than its factorization.

47872567600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 52.

The spelling of 47872567600 in words is "forty-seven billion, eight hundred seventy-two million, five hundred sixty-seven thousand, six hundred".