5118217113600 has 1560 divisors, whose sum is σ = 19643978597760. Its totient is φ = 1316699504640.

The previous prime is 5118217113593. The next prime is 5118217113631. The reversal of 5118217113600 is 63117128115.

It is a happy number.

5118217113600 is a `hidden beast` number, since 5 + 1 + 18 + 21 + 7 + 1 + 13 + 600 = 666.

It is a super-2 number, since 2×5118217113600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 47833804747 + ... + 47833804853.

Almost surely, 2^{5118217113600} is an apocalyptic number.

5118217113600 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 5118217113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9821989298880).

5118217113600 is an abundant number, since it is smaller than the sum of its proper divisors (14525761484160).

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

5118217113600 is a wasteful number, since it uses less digits than its factorization.

5118217113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The spelling of 5118217113600 in words is "five trillion, one hundred eighteen billion, two hundred seventeen million, one hundred thirteen thousand, six hundred".