47166355987200 has 1512 divisors, whose sum is σ = 185476775341200. Its totient is φ = 11836321136640.

The previous prime is 47166355987117. The next prime is 47166355987213. The reversal of 47166355987200 is 278955366174.

47166355987200 is a `hidden beast` number, since 4 + 7 + 1 + 6 + 6 + 3 + 559 + 8 + 72 + 0 + 0 = 666.

47166355987200 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×47166355987200² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 13917483106 + ... + 13917486494.

It is a 1-persistent number, because it is pandigital, but 2⋅47166355987200 = 94332711974400 is not.

Almost surely, 2^{47166355987200} is an apocalyptic number.

47166355987200 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 47166355987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92738387670600).

47166355987200 is an abundant number, since it is smaller than the sum of its proper divisors (138310419354000).

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

47166355987200 is a wasteful number, since it uses less digits than its factorization.

47166355987200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3609 (or 3575 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 47166355987200 in words is "forty-seven trillion, one hundred sixty-six billion, three hundred fifty-five million, nine hundred eighty-seven thousand, two hundred".