5007016026100 has 288 divisors, whose sum is σ = 12378093501312. Its totient is φ = 1742131200000.

The previous prime is 5007016026097. The next prime is 5007016026121. The reversal of 5007016026100 is 16206107005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 487390564 + ... + 487400836.

It is an arithmetic number, because the mean of its divisors is an integer number (42979491324).

Almost surely, 2^{5007016026100} is an apocalyptic number.

5007016026100 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 5007016026100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6189046750656).

5007016026100 is an abundant number, since it is smaller than the sum of its proper divisors (7371077475212).

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

5007016026100 is a wasteful number, since it uses less digits than its factorization.

5007016026100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10547 (or 10540 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The spelling of 5007016026100 in words is "five trillion, seven billion, sixteen million, twenty-six thousand, one hundred".