80435253381120 has 1920 divisors, whose sum is σ = 339172590556800. Its totient is φ = 18021010636800.

The previous prime is 80435253381083. The next prime is 80435253381271. The reversal of 80435253381120 is 2118335253408.

80435253381120 is a `hidden beast` number, since 8 + 0 + 4 + 3 + 5 + 253 + 381 + 12 + 0 = 666.

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 (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7107465702 + ... + 7107477018.

It is an arithmetic number, because the mean of its divisors is an integer number (176652390915).

Almost surely, 2^{80435253381120} is an apocalyptic number.

80435253381120 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 80435253381120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169586295278400).

80435253381120 is an abundant number, since it is smaller than the sum of its proper divisors (258737337175680).

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

80435253381120 is a wasteful number, since it uses less digits than its factorization.

80435253381120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11427 (or 11398 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 80435253381120 in words is "eighty trillion, four hundred thirty-five billion, two hundred fifty-three million, three hundred eighty-one thousand, one hundred twenty".