77761412131116 has 96 divisors (see below), whose sum is σ = 212437694730240. Its totient is φ = 21673994112000.

The previous prime is 77761412131097. The next prime is 77761412131171. The reversal of 77761412131116 is 61113121416777.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44433600 + ... + 46150488.

It is an arithmetic number, because the mean of its divisors is an integer number (2212892653440).

Almost surely, 2^{77761412131116} is an apocalyptic number.

It is an amenable number.

77761412131116 is an abundant number, since it is smaller than the sum of its proper divisors (134676282599124).

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

77761412131116 is a wasteful number, since it uses less digits than its factorization.

77761412131116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1730095 (or 1730093 counting only the distinct ones).

The product of its digits is 296352, while the sum is 48.

The spelling of 77761412131116 in words is "seventy-seven trillion, seven hundred sixty-one billion, four hundred twelve million, one hundred thirty-one thousand, one hundred sixteen".