10269316512 has 576 divisors, whose sum is σ = 38417379840. Its totient is φ = 2644088832.

The previous prime is 10269316507. The next prime is 10269316523. The reversal of 10269316512 is 21561396201.

10269316512 is a `hidden beast` number, since 102 + 6 + 9 + 31 + 6 + 512 = 666.

It is a super-2 number, since 2×10269316512² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25867098 + ... + 25867494.

It is an arithmetic number, because the mean of its divisors is an integer number (66696840).

Almost surely, 2^10269316512 is an apocalyptic number.

10269316512 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 10269316512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19208689920).

10269316512 is an abundant number, since it is smaller than the sum of its proper divisors (28148063328).

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

10269316512 is a wasteful number, since it uses less digits than its factorization.

10269316512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 10269316512 in words is "ten billion, two hundred sixty-nine million, three hundred sixteen thousand, five hundred twelve".