27199996369920 has 1232 divisors, whose sum is σ = 107386934796288. Its totient is φ = 6552801607680.

The previous prime is 27199996369879. The next prime is 27199996369921. The reversal of 27199996369920 is 2996369999172.

It is a super-2 number, since 2×27199996369920² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 27199996369920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27199996369921) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 6856563777 + ... + 6856567743.

Almost surely, 2^{27199996369920} is an apocalyptic number.

27199996369920 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 27199996369920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53693467398144).

27199996369920 is an abundant number, since it is smaller than the sum of its proper divisors (80186938426368).

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

27199996369920 is a wasteful number, since it uses less digits than its factorization.

27199996369920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4188 (or 4155 counting only the distinct ones).

The product of its (nonzero) digits is 1607077584, while the sum is 81.

The spelling of 27199996369920 in words is "twenty-seven trillion, one hundred ninety-nine billion, nine hundred ninety-six million, three hundred sixty-nine thousand, nine hundred twenty".