10635663552 has 112 divisors (see below), whose sum is σ = 28603297632. Its totient is φ = 3487334400.

The previous prime is 10635663547. The next prime is 10635663553. The reversal of 10635663552 is 25536653601.

It is a super-2 number, since 2×10635663552² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10635663553) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3220302 + ... + 3223602.

It is an arithmetic number, because the mean of its divisors is an integer number (255386586).

Almost surely, 2^10635663552 is an apocalyptic number.

10635663552 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 10635663552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14301648816).

10635663552 is an abundant number, since it is smaller than the sum of its proper divisors (17967634080).

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

10635663552 is a wasteful number, since it uses less digits than its factorization.

10635663552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3586 (or 3576 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 42.

The spelling of 10635663552 in words is "ten billion, six hundred thirty-five million, six hundred sixty-three thousand, five hundred fifty-two".