8959541552640 has 2560 divisors, whose sum is σ = 39974584320000. Its totient is φ = 1856087654400.

The previous prime is 8959541552597. The next prime is 8959541552653. The reversal of 8959541552640 is 462551459598.

8959541552640 is a `hidden beast` number, since 8 + 9 + 5 + 9 + 54 + 15 + 526 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 42462282135 + ... + 42462282345.

It is an arithmetic number, because the mean of its divisors is an integer number (15615072000).

Almost surely, 2^{8959541552640} is an apocalyptic number.

8959541552640 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 8959541552640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19987292160000).

8959541552640 is an abundant number, since it is smaller than the sum of its proper divisors (31015042767360).

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

8959541552640 is a wasteful number, since it uses less digits than its factorization.

8959541552640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 77760000, while the sum is 63.

The spelling of 8959541552640 in words is "eight trillion, nine hundred fifty-nine billion, five hundred forty-one million, five hundred fifty-two thousand, six hundred forty".