10911230668800 has 2496 divisors, whose sum is σ = 50546936217600. Its totient is φ = 2241390182400.

The previous prime is 10911230668781. The next prime is 10911230668817. The reversal of 10911230668800 is 886603211901.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22779186961 + ... + 22779187439.

Almost surely, 2^{10911230668800} is an apocalyptic number.

10911230668800 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 10911230668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25273468108800).

10911230668800 is an abundant number, since it is smaller than the sum of its proper divisors (39635705548800).

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

10911230668800 is a wasteful number, since it uses less digits than its factorization.

10911230668800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 10911230668800 in words is "ten trillion, nine hundred eleven billion, two hundred thirty million, six hundred sixty-eight thousand, eight hundred".