27765270275040 has 576 divisors, whose sum is σ = 100978033363200. Its totient is φ = 7125011112960.

The previous prime is 27765270274991. The next prime is 27765270275111. The reversal of 27765270275040 is 4057207256772.

It is a happy number.

27765270275040 is a `hidden beast` number, since 2 + 7 + 7 + 6 + 527 + 0 + 2 + 75 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 743103399 + ... + 743140761.

It is an arithmetic number, because the mean of its divisors is an integer number (175309085700).

Almost surely, 2^{27765270275040} is an apocalyptic number.

27765270275040 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 27765270275040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50489016681600).

27765270275040 is an abundant number, since it is smaller than the sum of its proper divisors (73212763088160).

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

27765270275040 is a wasteful number, since it uses less digits than its factorization.

27765270275040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37628 (or 37583 counting only the distinct ones).

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

The spelling of 27765270275040 in words is "twenty-seven trillion, seven hundred sixty-five billion, two hundred seventy million, two hundred seventy-five thousand, forty".