2087192134368 has 720 divisors, whose sum is σ = 7343851350528. Its totient is φ = 576004608000.

The previous prime is 2087192134367. The next prime is 2087192134373. The reversal of 2087192134368 is 8634312917802.

It is a happy number.

2087192134368 is a `hidden beast` number, since 2 + 0 + 8 + 7 + 192 + 13 + 436 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2087192134361) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 255434923 + ... + 255443093.

Almost surely, 2^{2087192134368} 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 2087192134368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3671925675264).

2087192134368 is an abundant number, since it is smaller than the sum of its proper divisors (5256659216160).

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

2087192134368 is a wasteful number, since it uses less digits than its factorization.

2087192134368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8269 (or 8235 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 2087192134368 in words is "two trillion, eighty-seven billion, one hundred ninety-two million, one hundred thirty-four thousand, three hundred sixty-eight".