12692534400 has 1152 divisors, whose sum is σ = 58008787200. Its totient is φ = 2570158080.

The previous prime is 12692534363. The next prime is 12692534513. The reversal of 12692534400 is 443529621.

It is a happy number.

12692534400 is a `hidden beast` number, since 126 + 92 + 5 + 3 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×12692534400² (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 (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 76003117 + ... + 76003283.

It is an arithmetic number, because the mean of its divisors is an integer number (50354850).

Almost surely, 2^12692534400 is an apocalyptic number.

12692534400 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 12692534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29004393600).

12692534400 is an abundant number, since it is smaller than the sum of its proper divisors (45316252800).

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

12692534400 is a wasteful number, since it uses less digits than its factorization.

12692534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 12692534400 in words is "twelve billion, six hundred ninety-two million, five hundred thirty-four thousand, four hundred".