13082277600 has 720 divisors, whose sum is σ = 55172468736. Its totient is φ = 2954880000.

The previous prime is 13082277583. The next prime is 13082277623. The reversal of 13082277600 is 677228031.

13082277600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×13082277600² (a number of 21 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 68493505 + ... + 68493695.

Almost surely, 2^13082277600 is an apocalyptic number.

13082277600 is a gapful number since it is divisible by the number (10) 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 13082277600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27586234368).

13082277600 is an abundant number, since it is smaller than the sum of its proper divisors (42090191136).

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

13082277600 is a wasteful number, since it uses less digits than its factorization.

13082277600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 13082277600 in words is "thirteen billion, eighty-two million, two hundred seventy-seven thousand, six hundred".