10137722672 has 240 divisors, whose sum is σ = 25965004800. Its totient is φ = 3748377600.

The previous prime is 10137722629. The next prime is 10137722681. The reversal of 10137722672 is 27622773101.

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, 24786404 + ... + 24786812.

It is an arithmetic number, because the mean of its divisors is an integer number (108187520).

Almost surely, 2^10137722672 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 10137722672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12982502400).

10137722672 is an abundant number, since it is smaller than the sum of its proper divisors (15827282128).

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

10137722672 is a wasteful number, since it uses less digits than its factorization.

10137722672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 38.

It can be divided in two parts, 101 and 37722672, that added together give a palindrome (37722773).

The spelling of 10137722672 in words is "ten billion, one hundred thirty-seven million, seven hundred twenty-two thousand, six hundred seventy-two".