81207526400 has 528 divisors, whose sum is σ = 270357279360. Its totient is φ = 23357030400.

The previous prime is 81207526373. The next prime is 81207526409. The reversal of 81207526400 is 462570218.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (81207526409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25624016 + ... + 25627184.

Almost surely, 2^81207526400 is an apocalyptic number.

81207526400 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 81207526400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135178639680).

81207526400 is an abundant number, since it is smaller than the sum of its proper divisors (189149752960).

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

81207526400 is a wasteful number, since it uses less digits than its factorization.

81207526400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3230 (or 3207 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The spelling of 81207526400 in words is "eighty-one billion, two hundred seven million, five hundred twenty-six thousand, four hundred".