27760104770076 has 288 divisors, whose sum is σ = 82096373818368. Its totient is φ = 7746239692800.

The previous prime is 27760104770053. The next prime is 27760104770113. The reversal of 27760104770076 is 67007740106772.

It is a happy number.

27760104770076 is a `hidden beast` number, since 27 + 7 + 601 + 0 + 4 + 7 + 7 + 0 + 0 + 7 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 673719291 + ... + 673760493.

It is an arithmetic number, because the mean of its divisors is an integer number (285056853536).

Almost surely, 2^{27760104770076} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27760104770076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41048186909184).

27760104770076 is an abundant number, since it is smaller than the sum of its proper divisors (54336269048292).

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

27760104770076 is a wasteful number, since it uses less digits than its factorization.

27760104770076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41681 (or 41676 counting only the distinct ones).

The product of its (nonzero) digits is 4840416, while the sum is 54.

The spelling of 27760104770076 in words is "twenty-seven trillion, seven hundred sixty billion, one hundred four million, seven hundred seventy thousand, seventy-six".