81051062400 has 1920 divisors, whose sum is σ = 387866603520. Its totient is φ = 16174080000.

The previous prime is 81051062399. The next prime is 81051062413. The reversal of 81051062400 is 426015018.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 618710335 + ... + 618710465.

It is an arithmetic number, because the mean of its divisors is an integer number (202013856).

Almost surely, 2^81051062400 is an apocalyptic number.

81051062400 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 81051062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193933301760).

81051062400 is an abundant number, since it is smaller than the sum of its proper divisors (306815541120).

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

81051062400 is a wasteful number, since it uses less digits than its factorization.

81051062400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 81051062400 its reverse (426015018), we get a palindrome (81477077418).

The spelling of 81051062400 in words is "eighty-one billion, fifty-one million, sixty-two thousand, four hundred".