5117756723010 has 192 divisors, whose sum is σ = 13939072842240. Its totient is φ = 1300294195200.

The previous prime is 5117756722951. The next prime is 5117756723063. The reversal of 5117756723010 is 103276577115.

5117756723010 is a `hidden beast` number, since 5 + 1 + 1 + 77 + 567 + 2 + 3 + 0 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 907561771 + ... + 907567409.

It is an arithmetic number, because the mean of its divisors is an integer number (72599337720).

Almost surely, 2^{5117756723010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5117756723010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6969536421120).

5117756723010 is an abundant number, since it is smaller than the sum of its proper divisors (8821316119230).

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

5117756723010 is a wasteful number, since it uses less digits than its factorization.

5117756723010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7313 (or 7310 counting only the distinct ones).

The product of its (nonzero) digits is 308700, while the sum is 45.

The spelling of 5117756723010 in words is "five trillion, one hundred seventeen billion, seven hundred fifty-six million, seven hundred twenty-three thousand, ten".