81266151200 has 144 divisors (see below), whose sum is σ = 214920697320. Its totient is φ = 30005314560.

The previous prime is 81266151167. The next prime is 81266151203. The reversal of 81266151200 is 215166218.

It can be written as a sum of positive squares in 12 ways, for example, as 14303203216 + 66962947984 = 119596^2 + 258772^2 .

It is a super-2 number, since 2×81266151200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (81266151203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1734482 + ... + 1780718.

Almost surely, 2^81266151200 is an apocalyptic number.

81266151200 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 81266151200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107460348660).

81266151200 is an abundant number, since it is smaller than the sum of its proper divisors (133654546120).

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

81266151200 is a wasteful number, since it uses less digits than its factorization.

81266151200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46296 (or 46257 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The spelling of 81266151200 in words is "eighty-one billion, two hundred sixty-six million, one hundred fifty-one thousand, two hundred".