77271114516 has 192 divisors, whose sum is σ = 195592320000. Its totient is φ = 23671664640.

The previous prime is 77271114511. The next prime is 77271114523. The reversal of 77271114516 is 61541117277.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77271114511) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 431682115 + ... + 431682293.

It is an arithmetic number, because the mean of its divisors is an integer number (1018710000).

Almost surely, 2^77271114516 is an apocalyptic number.

77271114516 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 77271114516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97796160000).

77271114516 is an abundant number, since it is smaller than the sum of its proper divisors (118321205484).

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

77271114516 is a wasteful number, since it uses less digits than its factorization.

77271114516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 580 counting only the distinct ones).

The product of its digits is 82320, while the sum is 42.

The spelling of 77271114516 in words is "seventy-seven billion, two hundred seventy-one million, one hundred fourteen thousand, five hundred sixteen".