5077916697600 has 660 divisors, whose sum is σ = 19203359370624. Its totient is φ = 1325274808320.

The previous prime is 5077916697593. The next prime is 5077916697641. The reversal of 5077916697600 is 67966197705.

5077916697600 is a `hidden beast` number, since 5 + 0 + 7 + 7 + 9 + 16 + 6 + 9 + 7 + 600 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 97433149 + ... + 97485251.

Almost surely, 2^{5077916697600} is an apocalyptic number.

5077916697600 is a gapful number since it is divisible by the number (50) 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 5077916697600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9601679685312).

5077916697600 is an abundant number, since it is smaller than the sum of its proper divisors (14125442673024).

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

5077916697600 is a wasteful number, since it uses less digits than its factorization.

5077916697600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52192 (or 52160 counting only the distinct ones).

The product of its (nonzero) digits is 30005640, while the sum is 63.

The spelling of 5077916697600 in words is "five trillion, seventy-seven billion, nine hundred sixteen million, six hundred ninety-seven thousand, six hundred".