10893545062400 has 1080 divisors, whose sum is σ = 36496006231104. Its totient is φ = 3114978508800.

The previous prime is 10893545062369. The next prime is 10893545062403. The reversal of 10893545062400 is 426054539801.

It is not an unprimeable number, because it can be changed into a prime (10893545062403) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 66831564719 + ... + 66831564881.

Almost surely, 2^{10893545062400} is an apocalyptic number.

10893545062400 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 10893545062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18248003115552).

10893545062400 is an abundant number, since it is smaller than the sum of its proper divisors (25602461168704).

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

10893545062400 is an equidigital number, since it uses as much as digits as its factorization.

10893545062400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 47.

The spelling of 10893545062400 in words is "ten trillion, eight hundred ninety-three billion, five hundred forty-five million, sixty-two thousand, four hundred".