47160370126080 has 720 divisors, whose sum is σ = 174674929524480. Its totient is φ = 12134958022656.

The previous prime is 47160370126031. The next prime is 47160370126091. The reversal of 47160370126080 is 8062107306174.

47160370126080 is a `hidden beast` number, since 4 + 7 + 1 + 6 + 0 + 37 + 0 + 1 + 2 + 608 + 0 = 666.

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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6202859559 + ... + 6202867161.

It is an arithmetic number, because the mean of its divisors is an integer number (242604068784).

Almost surely, 2^{47160370126080} is an apocalyptic number.

47160370126080 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 47160370126080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87337464762240).

47160370126080 is an abundant number, since it is smaller than the sum of its proper divisors (127514559398400).

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

47160370126080 is a wasteful number, since it uses less digits than its factorization.

47160370126080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9728 (or 9705 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 47160370126080 in words is "forty-seven trillion, one hundred sixty billion, three hundred seventy million, one hundred twenty-six thousand, eighty".