10530976768000 has 896 divisors, whose sum is σ = 29586156687360. Its totient is φ = 3738009600000.

The previous prime is 10530976767947. The next prime is 10530976768003. The reversal of 10530976768000 is 86767903501.

It is a super-2 number, since 2×10530976768000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10530976768003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69741567925 + ... + 69741568075.

It is an arithmetic number, because the mean of its divisors is an integer number (33020264160).

Almost surely, 2^{10530976768000} is an apocalyptic number.

10530976768000 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 10530976768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14793078343680).

10530976768000 is an abundant number, since it is smaller than the sum of its proper divisors (19055179919360).

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

10530976768000 is an frugal number, since it uses more digits than its factorization.

10530976768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 52.

The spelling of 10530976768000 in words is "ten trillion, five hundred thirty billion, nine hundred seventy-six million, seven hundred sixty-eight thousand".