12527675651400 has 768 divisors, whose sum is σ = 49474540093440. Its totient is φ = 2550951014400.

The previous prime is 12527675651341. The next prime is 12527675651419. The reversal of 12527675651400 is 415657672521.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 631329879 + ... + 631349721.

It is an arithmetic number, because the mean of its divisors is an integer number (64419974080).

Almost surely, 2^{12527675651400} is an apocalyptic number.

12527675651400 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 12527675651400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24737270046720).

12527675651400 is an abundant number, since it is smaller than the sum of its proper divisors (36946864442040).

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

12527675651400 is a wasteful number, since it uses less digits than its factorization.

12527675651400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20286 (or 20277 counting only the distinct ones).

The product of its (nonzero) digits is 3528000, while the sum is 51.

The spelling of 12527675651400 in words is "twelve trillion, five hundred twenty-seven billion, six hundred seventy-five million, six hundred fifty-one thousand, four hundred".