8536957129440 has 144 divisors (see below), whose sum is σ = 29138939077248. Its totient is φ = 2276008270848.

The previous prime is 8536957129429. The next prime is 8536957129469. The reversal of 8536957129440 is 449217596358.

8536957129440 is a `hidden beast` number, since 8 + 5 + 3 + 69 + 5 + 7 + 129 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 5737114 + ... + 7070246.

It is an arithmetic number, because the mean of its divisors is an integer number (202353743592).

It is a 1-persistent number, because it is pandigital, but 2⋅8536957129440 = 17073914258880 is not.

Almost surely, 2^{8536957129440} is an apocalyptic number.

8536957129440 is a gapful number since it is divisible by the number (80) 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 8536957129440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14569469538624).

8536957129440 is an abundant number, since it is smaller than the sum of its proper divisors (20601981947808).

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

8536957129440 is a wasteful number, since it uses less digits than its factorization.

8536957129440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337601 (or 1337590 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 8536957129440 in words is "eight trillion, five hundred thirty-six billion, nine hundred fifty-seven million, one hundred twenty-nine thousand, four hundred forty".