5006100787200 has 1404 divisors, whose sum is σ = 19438558540128. Its totient is φ = 1230490828800.

The previous prime is 5006100787189. The next prime is 5006100787201. The reversal of 5006100787200 is 27870016005.

5006100787200 is a `hidden beast` number, since 500 + 6 + 10 + 0 + 78 + 72 + 0 + 0 = 666.

It is a super-2 number, since 2×5006100787200² (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 not an unprimeable number, because it can be changed into a prime (5006100787201) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 13640601417 + ... + 13640601783.

Almost surely, 2^{5006100787200} is an apocalyptic number.

5006100787200 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 5006100787200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9719279270064).

5006100787200 is an abundant number, since it is smaller than the sum of its proper divisors (14432457752928).

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

5006100787200 is a wasteful number, since it uses less digits than its factorization.

5006100787200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 5006100787200 in words is "five trillion, six billion, one hundred million, seven hundred eighty-seven thousand, two hundred".