2135375827200 has 2592 divisors, whose sum is σ = 10147810498560. Its totient is φ = 426829824000.

The previous prime is 2135375827183. The next prime is 2135375827213. The reversal of 2135375827200 is 27285735312.

2135375827200 is a `hidden beast` number, since 2 + 1 + 3 + 5 + 375 + 8 + 272 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12786681517 + ... + 12786681683.

Almost surely, 2^{2135375827200} is an apocalyptic number.

2135375827200 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 2135375827200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5073905249280).

2135375827200 is an abundant number, since it is smaller than the sum of its proper divisors (8012434671360).

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

2135375827200 is a wasteful number, since it uses less digits than its factorization.

2135375827200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 2135375827200 in words is "two trillion, one hundred thirty-five billion, three hundred seventy-five million, eight hundred twenty-seven thousand, two hundred".