877981879535616 has 384 divisors, whose sum is σ = 2643895498608000. Its totient is φ = 287824559210496.

The previous prime is 877981879535611. The next prime is 877981879535617. The reversal of 877981879535616 is 616535978189778.

877981879535616 is a `hidden beast` number, since 8 + 7 + 7 + 9 + 8 + 1 + 8 + 7 + 9 + 535 + 61 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (90) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (877981879535611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2285689300 + ... + 2286073388.

It is an arithmetic number, because the mean of its divisors is an integer number (6885144527625).

Almost surely, 2^{877981879535616} 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 877981879535616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321947749304000).

877981879535616 is an abundant number, since it is smaller than the sum of its proper divisors (1765913619072384).

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

877981879535616 is a wasteful number, since it uses less digits than its factorization.

877981879535616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384804 (or 384778 counting only the distinct ones).

The product of its digits is 38407219200, while the sum is 90.

The spelling of 877981879535616 in words is "eight hundred seventy-seven trillion, nine hundred eighty-one billion, eight hundred seventy-nine million, five hundred thirty-five thousand, six hundred sixteen".