2135253415680 has 2160 divisors, whose sum is σ = 10211078021760. Its totient is φ = 420127948800.

The previous prime is 2135253415663. The next prime is 2135253415721. The reversal of 2135253415680 is 865143525312.

It is a happy number.

2135253415680 is a `hidden beast` number, since 2 + 1 + 3 + 52 + 5 + 34 + 1 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1061785875 + ... + 1061787885.

It is an arithmetic number, because the mean of its divisors is an integer number (4727350936).

Almost surely, 2^{2135253415680} is an apocalyptic number.

2135253415680 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 2135253415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5105539010880).

2135253415680 is an abundant number, since it is smaller than the sum of its proper divisors (8075824606080).

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

2135253415680 is a wasteful number, since it uses less digits than its factorization.

2135253415680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2088 (or 2058 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 2135253415680 in words is "two trillion, one hundred thirty-five billion, two hundred fifty-three million, four hundred fifteen thousand, six hundred eighty".