27777545046 has 96 divisors (see below), whose sum is σ = 64185758208. Its totient is φ = 8651784960.

The previous prime is 27777545023. The next prime is 27777545069. The reversal of 27777545046 is 64054577772.

27777545046 is a `hidden beast` number, since 27 + 7 + 77 + 545 + 0 + 4 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (27777545023) and next prime (27777545069).

It is a junction number, because it is equal to n+sod(n) for n = 27777544983 and 27777545001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44021151 + ... + 44021781.

It is an arithmetic number, because the mean of its divisors is an integer number (668601648).

Almost surely, 2^27777545046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27777545046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32092879104).

27777545046 is an abundant number, since it is smaller than the sum of its proper divisors (36408213162).

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

27777545046 is a wasteful number, since it uses less digits than its factorization.

27777545046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 11524800, while the sum is 54.

The spelling of 27777545046 in words is "twenty-seven billion, seven hundred seventy-seven million, five hundred forty-five thousand, forty-six".