47088912000 has 1024 divisors, whose sum is σ = 186697405440. Its totient is φ = 10380902400.

The previous prime is 47088911999. The next prime is 47088912001. The reversal of 47088912000 is 21988074.

It is an interprime number because it is at equal distance from previous prime (47088911999) and next prime (47088912001).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 47088912000.

It is not an unprimeable number, because it can be changed into a prime (47088912001) 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 127 ways as a sum of consecutive naturals, for example, 243983904 + ... + 243984096.

It is an arithmetic number, because the mean of its divisors is an integer number (182321685).

Almost surely, 2^47088912000 is an apocalyptic number.

47088912000 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 47088912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93348702720).

47088912000 is an abundant number, since it is smaller than the sum of its proper divisors (139608493440).

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

47088912000 is a wasteful number, since it uses less digits than its factorization.

47088912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The spelling of 47088912000 in words is "forty-seven billion, eighty-eight million, nine hundred twelve thousand".