80253504000 has 800 divisors, whose sum is σ = 303787248336. Its totient is φ = 21056716800.

The previous prime is 80253503983. The next prime is 80253504007. The reversal of 80253504000 is 40535208.

80253504000 is a `hidden beast` number, since 8 + 0 + 253 + 5 + 0 + 400 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 837755136 + 79415748864 = 28944^2 + 281808^2 .

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (80253504007) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 585791932 + ... + 585792068.

Almost surely, 2^80253504000 is an apocalyptic number.

80253504000 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 80253504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151893624168).

80253504000 is an abundant number, since it is smaller than the sum of its proper divisors (223533744336).

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

80253504000 is a wasteful number, since it uses less digits than its factorization.

80253504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 80253504000 in words is "eighty billion, two hundred fifty-three million, five hundred four thousand".