77171210332216 has 384 divisors, whose sum is σ = 205695806400000. Its totient is φ = 26284217057280.

The previous prime is 77171210332129. The next prime is 77171210332261. The reversal of 77171210332216 is 61223301217177.

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, 8720891760 + ... + 8720900608.

It is an arithmetic number, because the mean of its divisors is an integer number (535666162500).

Almost surely, 2^{77171210332216} is an apocalyptic number.

77171210332216 is a gapful number since it is divisible by the number (76) 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 77171210332216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102847903200000).

77171210332216 is an abundant number, since it is smaller than the sum of its proper divisors (128524596067784).

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

77171210332216 is a wasteful number, since it uses less digits than its factorization.

77171210332216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13327 (or 13310 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 43.

The spelling of 77171210332216 in words is "seventy-seven trillion, one hundred seventy-one billion, two hundred ten million, three hundred thirty-two thousand, two hundred sixteen".