10896072846400 has 189 divisors, whose sum is σ = 31191125519199. Its totient is φ = 3735479516160.

The previous prime is 10896072846371. The next prime is 10896072846409. The reversal of 10896072846400 is 464827069801.

It is a happy number.

The square root of 10896072846400 is 3300920.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5147126737984 + 5748946108416 = 2268728^2 + 2397696^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10896072846409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 924251706 + ... + 924263494.

Almost surely, 2^{10896072846400} is an apocalyptic number.

10896072846400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10896072846400 is the 3300920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10896072846400

10896072846400 is an abundant number, since it is smaller than the sum of its proper divisors (20295052672799).

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

10896072846400 is an frugal number, since it uses more digits than its factorization.

10896072846400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23614 (or 11803 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 55.

The spelling of 10896072846400 in words is "ten trillion, eight hundred ninety-six billion, seventy-two million, eight hundred forty-six thousand, four hundred".