47849102088480 has 1536 divisors, whose sum is σ = 214082362368000. Its totient is φ = 9894837657600.

The previous prime is 47849102088427. The next prime is 47849102088539. The reversal of 47849102088480 is 8488020194874.

47849102088480 is a `hidden beast` number, since 4 + 7 + 8 + 49 + 10 + 20 + 88 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 3439158004 + ... + 3439171916.

It is an arithmetic number, because the mean of its divisors is an integer number (139376538000).

Almost surely, 2^{47849102088480} is an apocalyptic number.

47849102088480 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 47849102088480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107041181184000).

47849102088480 is an abundant number, since it is smaller than the sum of its proper divisors (166233260279520).

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

47849102088480 is a wasteful number, since it uses less digits than its factorization.

47849102088480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14180 (or 14152 counting only the distinct ones).

The product of its (nonzero) digits is 33030144, while the sum is 63.

The spelling of 47849102088480 in words is "forty-seven trillion, eight hundred forty-nine billion, one hundred two million, eighty-eight thousand, four hundred eighty".