81240595200 has 486 divisors, whose sum is σ = 306623528484. Its totient is φ = 20518686720.

The previous prime is 81240595153. The next prime is 81240595201. The reversal of 81240595200 is 259504218.

81240595200 is a `hidden beast` number, since 8 + 1 + 2 + 40 + 595 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (81240595201) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 20791647 + ... + 20795553.

Almost surely, 2^81240595200 is an apocalyptic number.

81240595200 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 81240595200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153311764242).

81240595200 is an abundant number, since it is smaller than the sum of its proper divisors (225382933284).

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

81240595200 is a wasteful number, since it uses less digits than its factorization.

81240595200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3977 (or 3936 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 81240595200 in words is "eighty-one billion, two hundred forty million, five hundred ninety-five thousand, two hundred".