8235135820800 has 2112 divisors, whose sum is σ = 35844087498240. Its totient is φ = 1813567242240.

The previous prime is 8235135820783. The next prime is 8235135820819. The reversal of 8235135820800 is 80285315328.

8235135820800 is a `hidden beast` number, since 8 + 2 + 3 + 513 + 58 + 2 + 0 + 80 + 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 191 ways as a sum of consecutive naturals, for example, 28106265454 + ... + 28106265746.

Almost surely, 2^{8235135820800} is an apocalyptic number.

8235135820800 is a gapful number since it is divisible by the number (80) 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 8235135820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17922043749120).

8235135820800 is an abundant number, since it is smaller than the sum of its proper divisors (27608951677440).

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

8235135820800 is a wasteful number, since it uses less digits than its factorization.

8235135820800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 8235135820800 in words is "eight trillion, two hundred thirty-five billion, one hundred thirty-five million, eight hundred twenty thousand, eight hundred".