2087920331136 has 1152 divisors, whose sum is σ = 7128168652800. Its totient is φ = 583692189696.

The previous prime is 2087920331129. The next prime is 2087920331173. The reversal of 2087920331136 is 6311330297802.

2087920331136 is a `hidden beast` number, since 20 + 87 + 9 + 203 + 311 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×2087920331136² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2087920331091 and 2087920331100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16440317505 + ... + 16440317631.

It is an arithmetic number, because the mean of its divisors is an integer number (6187646400).

Almost surely, 2^{2087920331136} 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 2087920331136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3564084326400).

2087920331136 is an abundant number, since it is smaller than the sum of its proper divisors (5040248321664).

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

2087920331136 is a wasteful number, since it uses less digits than its factorization.

2087920331136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 2087920331136 in words is "two trillion, eighty-seven billion, nine hundred twenty million, three hundred thirty-one thousand, one hundred thirty-six".