47160388296000 has 2016 divisors, whose sum is σ = 215490478799232. Its totient is φ = 10145079705600.

The previous prime is 47160388295957. The next prime is 47160388296023. The reversal of 47160388296000 is 69288306174.

47160388296000 is a `hidden beast` number, since 4 + 7 + 1 + 6 + 0 + 3 + 8 + 8 + 29 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1619337439 + ... + 1619366561.

It is an arithmetic number, because the mean of its divisors is an integer number (106890118452).

Almost surely, 2^{47160388296000} is an apocalyptic number.

47160388296000 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 47160388296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107745239399616).

47160388296000 is an abundant number, since it is smaller than the sum of its proper divisors (168330090503232).

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

47160388296000 is a wasteful number, since it uses less digits than its factorization.

47160388296000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29196 (or 29157 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 47160388296000 in words is "forty-seven trillion, one hundred sixty billion, three hundred eighty-eight million, two hundred ninety-six thousand".