11351516512 has 72 divisors (see below), whose sum is σ = 26391890448. Its totient is φ = 4707912960.

The previous prime is 11351516507. The next prime is 11351516513. The reversal of 11351516512 is 21561515311.

It is a happy number.

It is a super-2 number, since 2×11351516512² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11351516513) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 188898 + ... + 241630.

It is an arithmetic number, because the mean of its divisors is an integer number (366554034).

Almost surely, 2^11351516512 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 11351516512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13195945224).

11351516512 is an abundant number, since it is smaller than the sum of its proper divisors (15040373936).

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

11351516512 is an equidigital number, since it uses as much as digits as its factorization.

11351516512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52812 (or 52773 counting only the distinct ones).

The product of its digits is 4500, while the sum is 31.

The spelling of 11351516512 in words is "eleven billion, three hundred fifty-one million, five hundred sixteen thousand, five hundred twelve".