10521440353116 has 288 divisors, whose sum is σ = 33307485120000. Its totient is φ = 2720577000960.

The previous prime is 10521440353087. The next prime is 10521440353121. The reversal of 10521440353116 is 61135304412501.

10521440353116 is a `hidden beast` number, since 1 + 0 + 5 + 214 + 403 + 5 + 31 + 1 + 6 = 666.

It is a super-2 number, since 2×10521440353116² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1117751626 + ... + 1117761038.

It is an arithmetic number, because the mean of its divisors is an integer number (115650990000).

Almost surely, 2^{10521440353116} 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 10521440353116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16653742560000).

10521440353116 is an abundant number, since it is smaller than the sum of its proper divisors (22786044766884).

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

10521440353116 is a wasteful number, since it uses less digits than its factorization.

10521440353116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11209 (or 11204 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 10521440353116 its reverse (61135304412501), we get a palindrome (71656744765617).

The spelling of 10521440353116 in words is "ten trillion, five hundred twenty-one billion, four hundred forty million, three hundred fifty-three thousand, one hundred sixteen".