5181777051696 has 960 divisors, whose sum is σ = 18290943590400. Its totient is φ = 1336733798400.

The previous prime is 5181777051679. The next prime is 5181777051701. The reversal of 5181777051696 is 6961507771815.

5181777051696 is a `hidden beast` number, since 5 + 18 + 17 + 7 + 7 + 0 + 516 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5688009481 + ... + 5688010391.

It is an arithmetic number, because the mean of its divisors is an integer number (19053066240).

Almost surely, 2^{5181777051696} is an apocalyptic number.

5181777051696 is a gapful number since it is divisible by the number (56) 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 5181777051696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9145471795200).

5181777051696 is an abundant number, since it is smaller than the sum of its proper divisors (13109166538704).

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

5181777051696 is a wasteful number, since it uses less digits than its factorization.

5181777051696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 22226400, while the sum is 63.

The spelling of 5181777051696 in words is "five trillion, one hundred eighty-one billion, seven hundred seventy-seven million, fifty-one thousand, six hundred ninety-six".