8025649516800 has 2160 divisors, whose sum is σ = 32682216454272. Its totient is φ = 1934917632000.

The previous prime is 8025649516777. The next prime is 8025649516813. The reversal of 8025649516800 is 86159465208.

8025649516800 is a `hidden beast` number, since 8 + 0 + 2 + 5 + 6 + 49 + 516 + 80 + 0 = 666.

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

It is a super-2 number, since 2×8025649516800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 49237113519 + ... + 49237113681.

Almost surely, 2^{8025649516800} is an apocalyptic number.

8025649516800 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 8025649516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16341108227136).

8025649516800 is an abundant number, since it is smaller than the sum of its proper divisors (24656566937472).

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

8025649516800 is a wasteful number, since it uses less digits than its factorization.

8025649516800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 8025649516800 in words is "eight trillion, twenty-five billion, six hundred forty-nine million, five hundred sixteen thousand, eight hundred".