10801252992 has 64 divisors (see below), whose sum is σ = 28748381760. Its totient is φ = 3593195520.

The previous prime is 10801252963. The next prime is 10801253041. The reversal of 10801252992 is 29925210801.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-4 number, since 4×10801252992⁴ (a number of 41 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10801252992.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 165192 + ... + 221112.

It is an arithmetic number, because the mean of its divisors is an integer number (449193465).

Almost surely, 2^10801252992 is an apocalyptic number.

10801252992 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 10801252992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14374190880).

10801252992 is an abundant number, since it is smaller than the sum of its proper divisors (17947128768).

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

10801252992 is an equidigital number, since it uses as much as digits as its factorization.

10801252992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56441 (or 56429 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 39.

The spelling of 10801252992 in words is "ten billion, eight hundred one million, two hundred fifty-two thousand, nine hundred ninety-two".