8729557973136 has 1200 divisors, whose sum is σ = 35667851611392. Its totient is φ = 2001925601280.

The previous prime is 8729557973119. The next prime is 8729557973219. The reversal of 8729557973136 is 6313797559278.

8729557973136 is a `hidden beast` number, since 8 + 7 + 2 + 9 + 557 + 9 + 7 + 31 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 239 ways as a sum of consecutive naturals, for example, 328202590 + ... + 328229186.

Almost surely, 2^{8729557973136} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8729557973136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17833925805696).

8729557973136 is an abundant number, since it is smaller than the sum of its proper divisors (26938293638256).

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

8729557973136 is a wasteful number, since it uses less digits than its factorization.

8729557973136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26682 (or 26656 counting only the distinct ones).

The product of its digits is 600112800, while the sum is 72.

The spelling of 8729557973136 in words is "eight trillion, seven hundred twenty-nine billion, five hundred fifty-seven million, nine hundred seventy-three thousand, one hundred thirty-six".