8657129290000 has 75 divisors (see below), whose sum is σ = 20960488108483. Its totient is φ = 3462734024000.

The previous prime is 8657129289983. The next prime is 8657129290001. The reversal of 8657129290000 is 929217568.

The square root of 8657129290000 is 2942300.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 678718936336 + 7978410353664 = 823844^2 + 2824608^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8657129290001) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 294215289 + ... + 294244711.

Almost surely, 2^{8657129290000} is an apocalyptic number.

8657129290000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8657129290000 is the 2942300-th square number.

It is an amenable number.

8657129290000 is an abundant number, since it is smaller than the sum of its proper divisors (12303358818483).

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

8657129290000 is an frugal number, since it uses more digits than its factorization.

8657129290000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58874 (or 29430 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 49.

Multiplying 8657129290000 by its sum of digits (49), we get a square (424199335210000 = 20596100²).

The spelling of 8657129290000 in words is "eight trillion, six hundred fifty-seven billion, one hundred twenty-nine million, two hundred ninety thousand".