47179071799200 has 1152 divisors, whose sum is σ = 203889262752000. Its totient is φ = 10393347686400.

The previous prime is 47179071799099. The next prime is 47179071799201. The reversal of 47179071799200 is 299717097174.

47179071799200 is a `hidden beast` number, since 471 + 7 + 9 + 0 + 7 + 1 + 79 + 92 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (47179071799201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 116935416 + ... + 117338184.

It is an arithmetic number, because the mean of its divisors is an integer number (176987207250).

Almost surely, 2^{47179071799200} is an apocalyptic number.

47179071799200 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 47179071799200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101944631376000).

47179071799200 is an abundant number, since it is smaller than the sum of its proper divisors (156710190952800).

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

47179071799200 is a wasteful number, since it uses less digits than its factorization.

47179071799200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402855 (or 402836 counting only the distinct ones).

The product of its (nonzero) digits is 14002632, while the sum is 63.

The spelling of 47179071799200 in words is "forty-seven trillion, one hundred seventy-nine billion, seventy-one million, seven hundred ninety-nine thousand, two hundred".