81278662032000 has 320 divisors, whose sum is σ = 301871213340840. Its totient is φ = 21674309529600.

The previous prime is 81278662031989. The next prime is 81278662032017. The reversal of 81278662032000 is 23026687218.

81278662032000 is a `hidden beast` number, since 8 + 12 + 7 + 8 + 6 + 620 + 3 + 2 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11898691504704 + 69379970527296 = 3449448^2 + 8329464^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30061509 + ... + 32653508.

Almost surely, 2^{81278662032000} is an apocalyptic number.

81278662032000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

81278662032000 is an abundant number, since it is smaller than the sum of its proper divisors (220592551308840).

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

81278662032000 is an equidigital number, since it uses as much as digits as its factorization.

81278662032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62715058 (or 62715027 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 81278662032000 in words is "eighty-one trillion, two hundred seventy-eight billion, six hundred sixty-two million, thirty-two thousand".