2135964798800 has 480 divisors, whose sum is σ = 6049927065600. Its totient is φ = 709652736000.

The previous prime is 2135964798797. The next prime is 2135964798827. The reversal of 2135964798800 is 88974695312.

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, 4955834585 + ... + 4955835015.

It is an arithmetic number, because the mean of its divisors is an integer number (12604014720).

It is a 1-persistent number, because it is pandigital, but 2⋅2135964798800 = 4271929597600 is not.

Almost surely, 2^{2135964798800} is an apocalyptic number.

2135964798800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2135964798800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3024963532800).

2135964798800 is an abundant number, since it is smaller than the sum of its proper divisors (3913962266800).

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

2135964798800 is a wasteful number, since it uses less digits than its factorization.

2135964798800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 62.

The spelling of 2135964798800 in words is "two trillion, one hundred thirty-five billion, nine hundred sixty-four million, seven hundred ninety-eight thousand, eight hundred".