47242252800 has 720 divisors, whose sum is σ = 178100208000. Its totient is φ = 11942461440.

The previous prime is 47242252753. The next prime is 47242252801. The reversal of 47242252800 is 825224274.

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 (36).

It is not an unprimeable number, because it can be changed into a prime (47242252801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 263923111 + ... + 263923289.

It is an arithmetic number, because the mean of its divisors is an integer number (247361400).

Almost surely, 2^47242252800 is an apocalyptic number.

47242252800 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 47242252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89050104000).

47242252800 is an abundant number, since it is smaller than the sum of its proper divisors (130857955200).

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

47242252800 is a wasteful number, since it uses less digits than its factorization.

47242252800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The spelling of 47242252800 in words is "forty-seven billion, two hundred forty-two million, two hundred fifty-two thousand, eight hundred".