5001000010272 has 288 divisors, whose sum is σ = 16316877717504. Its totient is φ = 1423272384000.

The previous prime is 5001000010249. The next prime is 5001000010297. The reversal of 5001000010272 is 2720100001005.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×5001000010272² (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 805181247 + ... + 805187457.

It is an arithmetic number, because the mean of its divisors is an integer number (56655825408).

Almost surely, 2^{5001000010272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5001000010272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8158438858752).

5001000010272 is an abundant number, since it is smaller than the sum of its proper divisors (11315877707232).

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

5001000010272 is a wasteful number, since it uses less digits than its factorization.

5001000010272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7732 (or 7721 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

Adding to 5001000010272 its reverse (2720100001005), we get a palindrome (7721100011277).

The spelling of 5001000010272 in words is "five trillion, one billion, ten thousand, two hundred seventy-two".