5012126658000 has 960 divisors, whose sum is σ = 21872028672000. Its totient is φ = 1039250304000.

The previous prime is 5012126657999. The next prime is 5012126658001. The reversal of 5012126658000 is 8566212105.

5012126658000 is a `hidden beast` number, since 5 + 0 + 1 + 2 + 12 + 66 + 580 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5012126657999) and next prime (5012126658001).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5012126658001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 691610377 + ... + 691617623.

It is an arithmetic number, because the mean of its divisors is an integer number (22783363200).

Almost surely, 2^{5012126658000} is an apocalyptic number.

5012126658000 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 5012126658000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10936014336000).

5012126658000 is an abundant number, since it is smaller than the sum of its proper divisors (16859902014000).

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

5012126658000 is a wasteful number, since it uses less digits than its factorization.

5012126658000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7793 (or 7774 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 5012126658000 in words is "five trillion, twelve billion, one hundred twenty-six million, six hundred fifty-eight thousand".