27199470816000 has 1440 divisors, whose sum is σ = 116465267318400. Its totient is φ = 6174683136000.

The previous prime is 27199470815999. The next prime is 27199470816041. The reversal of 27199470816000 is 61807499172.

27199470816000 is a `hidden beast` number, since 2 + 7 + 1 + 9 + 9 + 470 + 8 + 160 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×27199470816000² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2703450970 + ... + 2703461030.

It is an arithmetic number, because the mean of its divisors is an integer number (80878657860).

Almost surely, 2^{27199470816000} is an apocalyptic number.

27199470816000 is a gapful number since it is divisible by the number (20) 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 27199470816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58232633659200).

27199470816000 is an abundant number, since it is smaller than the sum of its proper divisors (89265796502400).

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

27199470816000 is a wasteful number, since it uses less digits than its factorization.

27199470816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10260 (or 10227 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 27199470816000 in words is "twenty-seven trillion, one hundred ninety-nine billion, four hundred seventy million, eight hundred sixteen thousand".