87757777119168 has 672 divisors, whose sum is σ = 281621078811072. Its totient is φ = 25959038976000.

The previous prime is 87757777119139. The next prime is 87757777119169. The reversal of 87757777119168 is 86191177775778.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87757777119169) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3888065323 + ... + 3888087893.

It is an arithmetic number, because the mean of its divisors is an integer number (419078986326).

Almost surely, 2^{87757777119168} 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 87757777119168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140810539405536).

87757777119168 is an abundant number, since it is smaller than the sum of its proper divisors (193863301691904).

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

87757777119168 is a wasteful number, since it uses less digits than its factorization.

87757777119168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22853 (or 22840 counting only the distinct ones).

The product of its digits is 2032974720, while the sum is 81.

The spelling of 87757777119168 in words is "eighty-seven trillion, seven hundred fifty-seven billion, seven hundred seventy-seven million, one hundred nineteen thousand, one hundred sixty-eight".