80089238527200 has 1440 divisors, whose sum is σ = 339868759507200. Its totient is φ = 17973739192320.

The previous prime is 80089238527189. The next prime is 80089238527223. The reversal of 80089238527200 is 272583298008.

It is a happy number.

80089238527200 is a `hidden beast` number, since 8 + 0 + 0 + 8 + 92 + 3 + 8 + 527 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×80089238527200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 32569839571 + ... + 32569842029.

It is an arithmetic number, because the mean of its divisors is an integer number (236019971880).

Almost surely, 2^{80089238527200} is an apocalyptic number.

80089238527200 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 80089238527200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169934379753600).

80089238527200 is an abundant number, since it is smaller than the sum of its proper divisors (259779520980000).

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

80089238527200 is a wasteful number, since it uses less digits than its factorization.

80089238527200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3774 (or 3752 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 80089238527200 in words is "eighty trillion, eighty-nine billion, two hundred thirty-eight million, five hundred twenty-seven thousand, two hundred".