27726819120 has 1920 divisors, whose sum is σ = 138519134208. Its totient is φ = 4777574400.

The previous prime is 27726819101. The next prime is 27726819139. The reversal of 27726819120 is 2191862772.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (27726819101) and next prime (27726819139).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 379819404 + ... + 379819476.

Almost surely, 2^27726819120 is an apocalyptic number.

27726819120 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 27726819120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69259567104).

27726819120 is an abundant number, since it is smaller than the sum of its proper divisors (110792315088).

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

27726819120 is a wasteful number, since it uses less digits than its factorization.

27726819120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 27726819120 in words is "twenty-seven billion, seven hundred twenty-six million, eight hundred nineteen thousand, one hundred twenty".