5006120004600 has 576 divisors, whose sum is σ = 18552437255520. Its totient is φ = 1109137920000.

The previous prime is 5006120004533. The next prime is 5006120004649. The reversal of 5006120004600 is 64000216005.

It is a super-2 number, since 2×5006120004600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 95297542 + ... + 95350058.

Almost surely, 2^{5006120004600} is an apocalyptic number.

5006120004600 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 5006120004600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9276218627760).

5006120004600 is an abundant number, since it is smaller than the sum of its proper divisors (13546317250920).

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

5006120004600 is a wasteful number, since it uses less digits than its factorization.

5006120004600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52672 (or 52652 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 5006120004600 in words is "five trillion, six billion, one hundred twenty million, four thousand, six hundred".