27598899768000 has 896 divisors, whose sum is σ = 104741257420800. Its totient is φ = 6332898816000.

The previous prime is 27598899767987. The next prime is 27598899768017. The reversal of 27598899768000 is 86799889572.

It is a super-2 number, since 2×27598899768000² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27598899767898 and 27598899767907.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8963590461 + ... + 8963593539.

It is an arithmetic number, because the mean of its divisors is an integer number (116898724800).

Almost surely, 2^{27598899768000} is an apocalyptic number.

27598899768000 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 27598899768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52370628710400).

27598899768000 is an abundant number, since it is smaller than the sum of its proper divisors (77142357652800).

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

27598899768000 is a wasteful number, since it uses less digits than its factorization.

27598899768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4926 (or 4906 counting only the distinct ones).

The product of its (nonzero) digits is 1097349120, while the sum is 78.

The spelling of 27598899768000 in words is "twenty-seven trillion, five hundred ninety-eight billion, eight hundred ninety-nine million, seven hundred sixty-eight thousand".