47388128000 has 288 divisors, whose sum is σ = 127360658880. Its totient is φ = 17510400000.

The previous prime is 47388127999. The next prime is 47388128023. The reversal of 47388128000 is 82188374.

It is a Harshad number since it is a multiple of its sum of digits (41).

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 31 ways as a sum of consecutive naturals, for example, 24927050 + ... + 24928950.

It is an arithmetic number, because the mean of its divisors is an integer number (442224510).

Almost surely, 2^47388128000 is an apocalyptic number.

47388128000 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 47388128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63680329440).

47388128000 is an abundant number, since it is smaller than the sum of its proper divisors (79972530880).

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

47388128000 is a wasteful number, since it uses less digits than its factorization.

47388128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1992 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 41.

The spelling of 47388128000 in words is "forty-seven billion, three hundred eighty-eight million, one hundred twenty-eight thousand".