10625635458 has 64 divisors (see below), whose sum is σ = 24090702720. Its totient is φ = 3470708736.

The previous prime is 10625635457. The next prime is 10625635483. The reversal of 10625635458 is 85453652601.

10625635458 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 5 + 635 + 4 + 5 + 8 = 666.

It is a super-2 number, since 2×10625635458² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10625635457) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 690666 + ... + 705882.

It is an arithmetic number, because the mean of its divisors is an integer number (376417230).

Almost surely, 2^10625635458 is an apocalyptic number.

10625635458 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10625635458, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12045351360).

10625635458 is an abundant number, since it is smaller than the sum of its proper divisors (13465067262).

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

10625635458 is a wasteful number, since it uses less digits than its factorization.

10625635458 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15488 (or 15482 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 10625635458 in words is "ten billion, six hundred twenty-five million, six hundred thirty-five thousand, four hundred fifty-eight".