5111005010004 has 144 divisors (see below), whose sum is σ = 13743798868800. Its totient is φ = 1659892953600.

The previous prime is 5111005009987. The next prime is 5111005010063. The reversal of 5111005010004 is 4000105001115.

It is a happy number.

5111005010004 is a `hidden beast` number, since 51 + 110 + 0 + 501 + 0 + 0 + 0 + 4 = 666.

It is a super-2 number, since 2×5111005010004² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16607722 + ... + 16912670.

It is an arithmetic number, because the mean of its divisors is an integer number (95443047700).

Almost surely, 2^{5111005010004} is an apocalyptic number.

5111005010004 is a gapful number since it is divisible by the number (54) 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 5111005010004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6871899434400).

5111005010004 is an abundant number, since it is smaller than the sum of its proper divisors (8632793858796).

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

5111005010004 is a wasteful number, since it uses less digits than its factorization.

5111005010004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305412 (or 305398 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The spelling of 5111005010004 in words is "five trillion, one hundred eleven billion, five million, ten thousand, four".