80268569952000 has 576 divisors, whose sum is σ = 279603423590400. Its totient is φ = 20371304448000.

The previous prime is 80268569951993. The next prime is 80268569952013. The reversal of 80268569952000 is 25996586208.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 439300660 + ... + 439483340.

It is an arithmetic number, because the mean of its divisors is an integer number (485422610400).

Almost surely, 2^{80268569952000} is an apocalyptic number.

80268569952000 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 80268569952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139801711795200).

80268569952000 is an abundant number, since it is smaller than the sum of its proper divisors (199334853638400).

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

80268569952000 is a wasteful number, since it uses less digits than its factorization.

80268569952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182937 (or 182913 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 60.

The spelling of 80268569952000 in words is "eighty trillion, two hundred sixty-eight billion, five hundred sixty-nine million, nine hundred fifty-two thousand".