8953525027440 has 1080 divisors, whose sum is σ = 35930318624928. Its totient is φ = 1992193781760.

The previous prime is 8953525027253. The next prime is 8953525027457. The reversal of 8953525027440 is 447205253598.

8953525027440 is a `hidden beast` number, since 8 + 9 + 5 + 3 + 525 + 0 + 2 + 74 + 40 = 666.

It is a super-2 number, since 2×8953525027440² (a number of 27 digits) contains 22 as substring.

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 215 ways as a sum of consecutive naturals, for example, 16549953570 + ... + 16549954110.

Almost surely, 2^{8953525027440} is an apocalyptic number.

8953525027440 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 8953525027440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17965159312464).

8953525027440 is an abundant number, since it is smaller than the sum of its proper divisors (26976793597488).

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

8953525027440 is a wasteful number, since it uses less digits than its factorization.

8953525027440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 8953525027440 in words is "eight trillion, nine hundred fifty-three billion, five hundred twenty-five million, twenty-seven thousand, four hundred forty".