80254056960000 has 4160 divisors, whose sum is σ = 392649144053760. Its totient is φ = 15677521920000.

The previous prime is 80254056959971. The next prime is 80254056960061. The reversal of 80254056960000 is 6965045208.

80254056960000 is a `hidden beast` number, since 8 + 0 + 25 + 4 + 0 + 569 + 60 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 319 ways as a sum of consecutive naturals, for example, 90478079557 + ... + 90478080443.

Almost surely, 2^{80254056960000} is an apocalyptic number.

80254056960000 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 80254056960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196324572026880).

80254056960000 is an abundant number, since it is smaller than the sum of its proper divisors (312395087093760).

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

80254056960000 is a wasteful number, since it uses less digits than its factorization.

80254056960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 80254056960000 in words is "eighty trillion, two hundred fifty-four billion, fifty-six million, nine hundred sixty thousand".