47288350720 has 192 divisors, whose sum is σ = 123351228000. Its totient is φ = 17294819328.

The previous prime is 47288350699. The next prime is 47288350757. The reversal of 47288350720 is 2705388274.

It is a super-2 number, since 2×47288350720² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14508451 + ... + 14511709.

Almost surely, 2^47288350720 is an apocalyptic number.

47288350720 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 47288350720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61675614000).

47288350720 is an abundant number, since it is smaller than the sum of its proper divisors (76062877280).

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

47288350720 is a wasteful number, since it uses less digits than its factorization.

47288350720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3408 (or 3388 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 46.

The spelling of 47288350720 in words is "forty-seven billion, two hundred eighty-eight million, three hundred fifty thousand, seven hundred twenty".