9875047659840 has 560 divisors, whose sum is σ = 38333847461184. Its totient is φ = 2393127936000.

The previous prime is 9875047659817. The next prime is 9875047659929. The reversal of 9875047659840 is 489567405789.

9875047659840 is a `hidden beast` number, since 9 + 8 + 7 + 504 + 76 + 5 + 9 + 8 + 40 = 666.

9875047659840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9875047659840² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1440137692 + ... + 1440144548.

Almost surely, 2^{9875047659840} is an apocalyptic number.

9875047659840 is a gapful number since it is divisible by the number (90) 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 9875047659840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19166923730592).

9875047659840 is an abundant number, since it is smaller than the sum of its proper divisors (28458799801344).

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

9875047659840 is a wasteful number, since it uses less digits than its factorization.

9875047659840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11948 (or 11929 counting only the distinct ones).

The product of its (nonzero) digits is 609638400, while the sum is 72.

The spelling of 9875047659840 in words is "nine trillion, eight hundred seventy-five billion, forty-seven million, six hundred fifty-nine thousand, eight hundred forty".