81459302400 has 1560 divisors, whose sum is σ = 365743745664. Its totient is φ = 17517772800.

The previous prime is 81459302399. The next prime is 81459302411. The reversal of 81459302400 is 420395418.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1335398370 + ... + 1335398430.

Almost surely, 2^81459302400 is an apocalyptic number.

81459302400 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 81459302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182871872832).

81459302400 is an abundant number, since it is smaller than the sum of its proper divisors (284284443264).

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

81459302400 is a wasteful number, since it uses less digits than its factorization.

81459302400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 81459302400 its reverse (420395418), we get a palindrome (81879697818).

The spelling of 81459302400 in words is "eighty-one billion, four hundred fifty-nine million, three hundred two thousand, four hundred".