10887200064 has 224 divisors, whose sum is σ = 34628612480. Its totient is φ = 3334348800.

The previous prime is 10887200063. The next prime is 10887200081. The reversal of 10887200064 is 46000278801.

It is a super-2 number, since 2×10887200064² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10887200063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5412819 + ... + 5414829.

It is an arithmetic number, because the mean of its divisors is an integer number (154592020).

Almost surely, 2^10887200064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10887200064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17314306240).

10887200064 is an abundant number, since it is smaller than the sum of its proper divisors (23741412416).

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

10887200064 is a wasteful number, since it uses less digits than its factorization.

10887200064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2286 (or 2270 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

Adding to 10887200064 its reverse (46000278801), we get a palindrome (56887478865).

The spelling of 10887200064 in words is "ten billion, eight hundred eighty-seven million, two hundred thousand, sixty-four".