10887940897344 has 315 divisors, whose sum is σ = 37550434681683. Its totient is φ = 3110365101312.

The previous prime is 10887940897291. The next prime is 10887940897349. The reversal of 10887940897344 is 44379804978801.

The square root of 10887940897344 is 3299688.

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

10887940897344 is a `hidden beast` number, since 1 + 0 + 88 + 79 + 408 + 9 + 73 + 4 + 4 = 666.

10887940897344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (10887940897349) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1663039479 + ... + 1663046025.

Almost surely, 2^{10887940897344} is an apocalyptic number.

10887940897344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10887940897344 is the 3299688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10887940897344

10887940897344 is an abundant number, since it is smaller than the sum of its proper divisors (26662493784339).

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

10887940897344 is an frugal number, since it uses more digits than its factorization.

10887940897344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13132 (or 6559 counting only the distinct ones).

The product of its (nonzero) digits is 390168576, while the sum is 72.

The spelling of 10887940897344 in words is "ten trillion, eight hundred eighty-seven billion, nine hundred forty million, eight hundred ninety-seven thousand, three hundred forty-four".