802096495200 has 1152 divisors, whose sum is σ = 3895040701440. Its totient is φ = 153844531200.

The previous prime is 802096495147. The next prime is 802096495229. The reversal of 802096495200 is 2594690208.

802096495200 is a `hidden beast` number, since 80 + 2 + 0 + 9 + 6 + 49 + 520 + 0 = 666.

It is a super-2 number, since 2×802096495200² (a number of 25 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 21603052 + ... + 21640148.

It is an arithmetic number, because the mean of its divisors is an integer number (3381111720).

Almost surely, 2^802096495200 is an apocalyptic number.

802096495200 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 802096495200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1947520350720).

802096495200 is an abundant number, since it is smaller than the sum of its proper divisors (3092944206240).

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

802096495200 is a wasteful number, since it uses less digits than its factorization.

802096495200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37157 (or 37138 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 802096495200 in words is "eight hundred two billion, ninety-six million, four hundred ninety-five thousand, two hundred".