2135171791872 has 1056 divisors, whose sum is σ = 7584993757440. Its totient is φ = 591353118720.

The previous prime is 2135171791843. The next prime is 2135171791957. The reversal of 2135171791872 is 2781971715312.

It is a happy number.

2135171791872 is a `hidden beast` number, since 21 + 3 + 517 + 17 + 91 + 8 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9406043023 + ... + 9406043249.

It is an arithmetic number, because the mean of its divisors is an integer number (7182759240).

Almost surely, 2^{2135171791872} 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 2135171791872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3792496878720).

2135171791872 is an abundant number, since it is smaller than the sum of its proper divisors (5449821965568).

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

2135171791872 is a wasteful number, since it uses less digits than its factorization.

2135171791872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 423 counting only the distinct ones).

The product of its digits is 1481760, while the sum is 54.

The spelling of 2135171791872 in words is "two trillion, one hundred thirty-five billion, one hundred seventy-one million, seven hundred ninety-one thousand, eight hundred seventy-two".