129575157264 has 240 divisors, whose sum is σ = 425316528000. Its totient is φ = 36059572224.

The previous prime is 129575157253. The next prime is 129575157281. The reversal of 129575157264 is 462751575921.

129575157264 is a `hidden beast` number, since 1 + 2 + 9 + 5 + 7 + 5 + 1 + 572 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 129575157264.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7417212 + ... + 7434660.

It is an arithmetic number, because the mean of its divisors is an integer number (1772152200).

Almost surely, 2^129575157264 is an apocalyptic number.

129575157264 is a gapful number since it is divisible by the number (14) 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 129575157264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212658264000).

129575157264 is an abundant number, since it is smaller than the sum of its proper divisors (295741370736).

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

129575157264 is a wasteful number, since it uses less digits than its factorization.

129575157264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17662 (or 17653 counting only the distinct ones).

The product of its digits is 5292000, while the sum is 54.

The spelling of 129575157264 in words is "one hundred twenty-nine billion, five hundred seventy-five million, one hundred fifty-seven thousand, two hundred sixty-four".