10269622272 has 432 divisors, whose sum is σ = 35143939152. Its totient is φ = 2642411520.

The previous prime is 10269622241. The next prime is 10269622273. The reversal of 10269622272 is 27222696201.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 10269622272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10269622273) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 250478572 + ... + 250478612.

It is an arithmetic number, because the mean of its divisors is an integer number (81351711).

Almost surely, 2^10269622272 is an apocalyptic number.

10269622272 is a gapful number since it is divisible by the number (12) 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 10269622272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17571969576).

10269622272 is an abundant number, since it is smaller than the sum of its proper divisors (24874316880).

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

10269622272 is an frugal number, since it uses more digits than its factorization.

10269622272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 10269622272 in words is "ten billion, two hundred sixty-nine million, six hundred twenty-two thousand, two hundred seventy-two".