47559441216000 has 2560 divisors, whose sum is σ = 194581945958400. Its totient is φ = 10072503091200.

The previous prime is 47559441215987. The next prime is 47559441216019. The reversal of 47559441216000 is 61214495574.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 162318911854 + ... + 162318912146.

It is an arithmetic number, because the mean of its divisors is an integer number (76008572640).

Almost surely, 2^{47559441216000} is an apocalyptic number.

47559441216000 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 47559441216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97290972979200).

47559441216000 is an abundant number, since it is smaller than the sum of its proper divisors (147022504742400).

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

47559441216000 is a wasteful number, since it uses less digits than its factorization.

47559441216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 47559441216000 in words is "forty-seven trillion, five hundred fifty-nine billion, four hundred forty-one million, two hundred sixteen thousand".