9975571078144 has 352 divisors, whose sum is σ = 24089440813056. Its totient is φ = 4038600867840.

The previous prime is 9975571078127. The next prime is 9975571078199. The reversal of 9975571078144 is 4418701755799.

It is a self number, because there is not a number n which added to its sum of digits gives 9975571078144.

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 31 ways as a sum of consecutive naturals, for example, 4835467257 + ... + 4835469319.

Almost surely, 2^{9975571078144} is an apocalyptic number.

9975571078144 is a gapful number since it is divisible by the number (94) 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 9975571078144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12044720406528).

9975571078144 is an abundant number, since it is smaller than the sum of its proper divisors (14113869734912).

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

9975571078144 is a wasteful number, since it uses less digits than its factorization.

9975571078144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2631 (or 2613 counting only the distinct ones).

The product of its (nonzero) digits is 88905600, while the sum is 67.

The spelling of 9975571078144 in words is "nine trillion, nine hundred seventy-five billion, five hundred seventy-one million, seventy-eight thousand, one hundred forty-four".