2875375835136 has 576 divisors, whose sum is σ = 10127003927040. Its totient is φ = 767231262720.

The previous prime is 2875375835113. The next prime is 2875375835177. The reversal of 2875375835136 is 6315385735782.

2875375835136 is a `hidden beast` number, since 2 + 8 + 7 + 5 + 37 + 5 + 83 + 513 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 287331445 + ... + 287341451.

It is an arithmetic number, because the mean of its divisors is an integer number (17581604040).

Almost surely, 2^{2875375835136} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2875375835136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5063501963520).

2875375835136 is an abundant number, since it is smaller than the sum of its proper divisors (7251628091904).

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

2875375835136 is a wasteful number, since it uses less digits than its factorization.

2875375835136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10190 (or 10167 counting only the distinct ones).

The product of its digits is 127008000, while the sum is 63.

The spelling of 2875375835136 in words is "two trillion, eight hundred seventy-five billion, three hundred seventy-five million, eight hundred thirty-five thousand, one hundred thirty-six".