5011906951800 has 1152 divisors, whose sum is σ = 20500591449600. Its totient is φ = 1102429440000.

The previous prime is 5011906951741. The next prime is 5011906951837. The reversal of 5011906951800 is 81596091105.

5011906951800 is a `hidden beast` number, since 501 + 1 + 9 + 0 + 69 + 5 + 1 + 80 + 0 = 666.

It is a super-2 number, since 2×5011906951800² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10207549555 + ... + 10207550045.

It is an arithmetic number, because the mean of its divisors is an integer number (17795652300).

Almost surely, 2^{5011906951800} is an apocalyptic number.

5011906951800 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 5011906951800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10250295724800).

5011906951800 is an abundant number, since it is smaller than the sum of its proper divisors (15488684497800).

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

5011906951800 is a wasteful number, since it uses less digits than its factorization.

5011906951800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 45.

The spelling of 5011906951800 in words is "five trillion, eleven billion, nine hundred six million, nine hundred fifty-one thousand, eight hundred".