2136828805632 has 640 divisors, whose sum is σ = 6969153945600. Its totient is φ = 643512729600.

The previous prime is 2136828805591. The next prime is 2136828805667. The reversal of 2136828805632 is 2365088286312.

It is a happy number.

2136828805632 is a `hidden beast` number, since 2 + 13 + 68 + 2 + 8 + 8 + 0 + 563 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 954366369 + ... + 954368607.

It is an arithmetic number, because the mean of its divisors is an integer number (10889303040).

Almost surely, 2^{2136828805632} 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 2136828805632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3484576972800).

2136828805632 is an abundant number, since it is smaller than the sum of its proper divisors (4832325139968).

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

2136828805632 is a wasteful number, since it uses less digits than its factorization.

2136828805632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2445 (or 2423 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 2136828805632 in words is "two trillion, one hundred thirty-six billion, eight hundred twenty-eight million, eight hundred five thousand, six hundred thirty-two".