12725653500 has 384 divisors, whose sum is σ = 47316971520. Its totient is φ = 2892672000.

The previous prime is 12725653489. The next prime is 12725653511. The reversal of 12725653500 is 535652721.

12725653500 is a `hidden beast` number, since 1 + 2 + 72 + 56 + 535 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12725653489) and next prime (12725653511).

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 (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29389284 + ... + 29389716.

It is an arithmetic number, because the mean of its divisors is an integer number (123221280).

Almost surely, 2^12725653500 is an apocalyptic number.

12725653500 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 12725653500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23658485760).

12725653500 is an abundant number, since it is smaller than the sum of its proper divisors (34591318020).

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

12725653500 is a wasteful number, since it uses less digits than its factorization.

12725653500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The spelling of 12725653500 in words is "twelve billion, seven hundred twenty-five million, six hundred fifty-three thousand, five hundred".