27077376066048 has 2880 divisors, whose sum is σ = 107390702555136. Its totient is φ = 6786494668800.

The previous prime is 27077376066031. The next prime is 27077376066053. The reversal of 27077376066048 is 84066067377072.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 381371493853 + ... + 381371493923.

Almost surely, 2^{27077376066048} is an apocalyptic number.

27077376066048 is a gapful number since it is divisible by the number (28) 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 27077376066048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53695351277568).

27077376066048 is an abundant number, since it is smaller than the sum of its proper divisors (80313326489088).

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

27077376066048 is an frugal number, since it uses more digits than its factorization.

27077376066048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 99574272, while the sum is 63.

The spelling of 27077376066048 in words is "twenty-seven trillion, seventy-seven billion, three hundred seventy-six million, sixty-six thousand, forty-eight".