13257167427000 has 2048 divisors, whose sum is σ = 55431806976000. Its totient is φ = 2868410880000.

The previous prime is 13257167426999. The next prime is 13257167427011. The reversal of 13257167427000 is 72476175231.

13257167427000 is a `hidden beast` number, since 1 + 3 + 2 + 571 + 6 + 7 + 4 + 2 + 70 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 48919436865 + ... + 48919437135.

It is an arithmetic number, because the mean of its divisors is an integer number (27066312000).

Almost surely, 2^{13257167427000} is an apocalyptic number.

13257167427000 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 13257167427000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27715903488000).

13257167427000 is an abundant number, since it is smaller than the sum of its proper divisors (42174639549000).

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

13257167427000 is a wasteful number, since it uses less digits than its factorization.

13257167427000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 13257167427000 in words is "thirteen trillion, two hundred fifty-seven billion, one hundred sixty-seven million, four hundred twenty-seven thousand".