10861401200896 has 243 divisors, whose sum is σ = 23597172405891. Its totient is φ = 4988738875392.

The previous prime is 10861401200861. The next prime is 10861401200899. The reversal of 10861401200896 is 69800210416801.

The square root of 10861401200896 is 3295664.

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

10861401200896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7752526960896 + 3108874240000 = 2784336^2 + 1763200^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10861401200899) 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, 37069628526 + ... + 37069628818.

Almost surely, 2^{10861401200896} is an apocalyptic number.

10861401200896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10861401200896 is the 3295664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10861401200896

10861401200896 is an abundant number, since it is smaller than the sum of its proper divisors (12735771204995).

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

10861401200896 is an frugal number, since it uses more digits than its factorization.

10861401200896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 46.

The spelling of 10861401200896 in words is "ten trillion, eight hundred sixty-one billion, four hundred one million, two hundred thousand, eight hundred ninety-six".