10791252000000 has 1008 divisors, whose sum is σ = 40199216693440. Its totient is φ = 2855347200000.

The previous prime is 10791251999981. The next prime is 10791252000071. The reversal of 10791252000000 is 25219701.

It is a super-2 number, since 2×10791252000000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 17603999694 + ... + 17604000306.

Almost surely, 2^{10791252000000} is an apocalyptic number.

10791252000000 is a gapful number since it is divisible by the number (10) 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 10791252000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20099608346720).

10791252000000 is an abundant number, since it is smaller than the sum of its proper divisors (29407964693440).

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

10791252000000 is an frugal number, since it uses more digits than its factorization.

10791252000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

Adding to 10791252000000 its reverse (25219701), we get a palindrome (10791277219701).

The spelling of 10791252000000 in words is "ten trillion, seven hundred ninety-one billion, two hundred fifty-two million", and thus it is an aban number.