13402516512 has 192 divisors, whose sum is σ = 45049181184. Its totient is φ = 3387018240.

The previous prime is 13402516511. The next prime is 13402516529. The reversal of 13402516512 is 21561520431.

It is a super-2 number, since 2×13402516512² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13402516512.

It is not an unprimeable number, because it can be changed into a prime (13402516511) 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, 249003 + ... + 298005.

It is an arithmetic number, because the mean of its divisors is an integer number (234631152).

Almost surely, 2^13402516512 is an apocalyptic number.

13402516512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13402516512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22524590592).

13402516512 is an abundant number, since it is smaller than the sum of its proper divisors (31646664672).

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

13402516512 is a wasteful number, since it uses less digits than its factorization.

13402516512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49071 (or 49063 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 13402516512 in words is "thirteen billion, four hundred two million, five hundred sixteen thousand, five hundred twelve".