10625868288 has 480 divisors, whose sum is σ = 36850784256. Its totient is φ = 2884460544.

The previous prime is 10625868271. The next prime is 10625868299. The reversal of 10625868288 is 88286852601.

It is a happy number.

10625868288 is a `hidden beast` number, since 1 + 0 + 625 + 8 + 6 + 8 + 2 + 8 + 8 = 666.

It is a super-2 number, since 2×10625868288² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 65189295 + ... + 65189457.

Almost surely, 2^10625868288 is an apocalyptic number.

10625868288 is a gapful number since it is divisible by the number (18) 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 10625868288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18425392128).

10625868288 is an abundant number, since it is smaller than the sum of its proper divisors (26224915968).

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

10625868288 is a wasteful number, since it uses less digits than its factorization.

10625868288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 10625868288 in words is "ten billion, six hundred twenty-five million, eight hundred sixty-eight thousand, two hundred eighty-eight".