13069062400 has 81 divisors (see below), whose sum is σ = 32370624111. Its totient is φ = 5223966720.

The previous prime is 13069062373. The next prime is 13069062421. The reversal of 13069062400 is 426096031.

The square root of 13069062400 is 114320.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4971942144 + 8097120256 = 70512^2 + 89984^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9144886 + ... + 9146314.

Almost surely, 2^13069062400 is an apocalyptic number.

13069062400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13069062400 is the 114320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13069062400

13069062400 is an abundant number, since it is smaller than the sum of its proper divisors (19301561711).

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

13069062400 is an frugal number, since it uses more digits than its factorization.

13069062400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2884 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The spelling of 13069062400 in words is "thirteen billion, sixty-nine million, sixty-two thousand, four hundred".