27826423148160 has 3072 divisors, whose sum is σ = 128437549793280. Its totient is φ = 5385664069632.

The previous prime is 27826423148113. The next prime is 27826423148179. The reversal of 27826423148160 is 6184132462872.

27826423148160 is a `hidden beast` number, since 2 + 7 + 8 + 264 + 2 + 314 + 8 + 1 + 60 = 666.

It is a super-2 number, since 2×27826423148160² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27826423148097 and 27826423148106.

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, 75821316297 + ... + 75821316663.

It is an arithmetic number, because the mean of its divisors is an integer number (41809098240).

Almost surely, 2^{27826423148160} is an apocalyptic number.

27826423148160 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 27826423148160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64218774896640).

27826423148160 is an abundant number, since it is smaller than the sum of its proper divisors (100611126645120).

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

27826423148160 is a wasteful number, since it uses less digits than its factorization.

27826423148160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 27826423148160 in words is "twenty-seven trillion, eight hundred twenty-six billion, four hundred twenty-three million, one hundred forty-eight thousand, one hundred sixty".