81462988800 has 468 divisors, whose sum is σ = 299794367860. Its totient is φ = 21127495680.

The previous prime is 81462988799. The next prime is 81462988811. The reversal of 81462988800 is 888926418.

81462988800 is a `hidden beast` number, since 8 + 1 + 4 + 629 + 8 + 8 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 279023616 + 81183965184 = 16704^2 + 284928^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34098006 + ... + 34100394.

Almost surely, 2^81462988800 is an apocalyptic number.

81462988800 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 81462988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149897183930).

81462988800 is an abundant number, since it is smaller than the sum of its proper divisors (218331379060).

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

81462988800 is a wasteful number, since it uses less digits than its factorization.

81462988800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2466 (or 2436 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 81462988800 in words is "eighty-one billion, four hundred sixty-two million, nine hundred eighty-eight thousand, eight hundred".