10311027672 has 64 divisors (see below), whose sum is σ = 28309824000. Its totient is φ = 3103571840.

The previous prime is 10311027653. The next prime is 10311027677. The reversal of 10311027672 is 27672011301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10311027677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91728 + ... + 170399.

It is an arithmetic number, because the mean of its divisors is an integer number (442341000).

Almost surely, 2^10311027672 is an apocalyptic number.

10311027672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10311027672 is an abundant number, since it is smaller than the sum of its proper divisors (17998796328).

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

10311027672 is a wasteful number, since it uses less digits than its factorization.

10311027672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262296 (or 262292 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

Adding to 10311027672 its reverse (27672011301), we get a palindrome (37983038973).

The spelling of 10311027672 in words is "ten billion, three hundred eleven million, twenty-seven thousand, six hundred seventy-two".