9875686393440 has 1920 divisors, whose sum is σ = 42843435909120. Its totient is φ = 2093373849600.

The previous prime is 9875686393439. The next prime is 9875686393457. The reversal of 9875686393440 is 443936865789.

9875686393440 is a `hidden beast` number, since 9 + 8 + 75 + 6 + 86 + 39 + 3 + 440 = 666.

9875686393440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 319 ways as a sum of consecutive naturals, for example, 20617299121 + ... + 20617299599.

It is an arithmetic number, because the mean of its divisors is an integer number (22314289536).

Almost surely, 2^{9875686393440} is an apocalyptic number.

9875686393440 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 9875686393440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21421717954560).

9875686393440 is an abundant number, since it is smaller than the sum of its proper divisors (32967749515680).

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

9875686393440 is a wasteful number, since it uses less digits than its factorization.

9875686393440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 72.

The spelling of 9875686393440 in words is "nine trillion, eight hundred seventy-five billion, six hundred eighty-six million, three hundred ninety-three thousand, four hundred forty".