116577102777500 has 240 divisors, whose sum is σ = 272240330208000. Its totient is φ = 43586346240000.

The previous prime is 116577102777451. The next prime is 116577102777539. The reversal of 116577102777500 is 5777201775611.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 392699126 + ... + 392995874.

It is an arithmetic number, because the mean of its divisors is an integer number (1134334709200).

Almost surely, 2^{116577102777500} is an apocalyptic number.

116577102777500 is a gapful number since it is divisible by the number (10) 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 116577102777500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136120165104000).

116577102777500 is an abundant number, since it is smaller than the sum of its proper divisors (155663227430500).

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

116577102777500 is a wasteful number, since it uses less digits than its factorization.

116577102777500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296978 (or 296961 counting only the distinct ones).

The product of its (nonzero) digits is 5042100, while the sum is 56.

The spelling of 116577102777500 in words is "one hundred sixteen trillion, five hundred seventy-seven billion, one hundred two million, seven hundred seventy-seven thousand, five hundred".