12653348800 has 168 divisors, whose sum is σ = 33370515936. Its totient is φ = 4709928960.

The previous prime is 12653348723. The next prime is 12653348831. The reversal of 12653348800 is 884335621.

It is a super-2 number, since 2×12653348800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1356954 + ... + 1366246.

Almost surely, 2^12653348800 is an apocalyptic number.

12653348800 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 12653348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16685257968).

12653348800 is an abundant number, since it is smaller than the sum of its proper divisors (20717167136).

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

12653348800 is a wasteful number, since it uses less digits than its factorization.

12653348800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9375 (or 9360 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 12653348800 in words is "twelve billion, six hundred fifty-three million, three hundred forty-eight thousand, eight hundred".