2135413552000 has 128 divisors (see below), whose sum is σ = 5358794669280. Its totient is φ = 846181888000.

The previous prime is 2135413551961. The next prime is 2135413552021. The reversal of 2135413552000 is 2553145312.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1088340 + ... + 2335660.

Almost surely, 2^{2135413552000} is an apocalyptic number.

2135413552000 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 2135413552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2679397334640).

2135413552000 is an abundant number, since it is smaller than the sum of its proper divisors (3223381117280).

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

2135413552000 is a wasteful number, since it uses less digits than its factorization.

2135413552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247457 (or 1247435 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

Adding to 2135413552000 its reverse (2553145312), we get a palindrome (2137966697312).

The spelling of 2135413552000 in words is "two trillion, one hundred thirty-five billion, four hundred thirteen million, five hundred fifty-two thousand".