81449657395200 has 288 divisors, whose sum is σ = 299179020067200. Its totient is φ = 21719908270080.

The previous prime is 81449657395181. The next prime is 81449657395259. The reversal of 81449657395200 is 259375694418.

81449657395200 is a `hidden beast` number, since 8 + 1 + 4 + 4 + 9 + 6 + 573 + 9 + 52 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28077112 + ... + 30841911.

It is an arithmetic number, because the mean of its divisors is an integer number (1038816041900).

It is a 1-persistent number, because it is pandigital, but 2⋅81449657395200 = 162899314790400 is not.

Almost surely, 2^{81449657395200} is an apocalyptic number.

81449657395200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

81449657395200 is an abundant number, since it is smaller than the sum of its proper divisors (217729362672000).

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

81449657395200 is a wasteful number, since it uses less digits than its factorization.

81449657395200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58919064 (or 58919033 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 81449657395200 in words is "eighty-one trillion, four hundred forty-nine billion, six hundred fifty-seven million, three hundred ninety-five thousand, two hundred".