80263249920 has 672 divisors, whose sum is σ = 330175453440. Its totient is φ = 18345885696.

The previous prime is 80263249909. The next prime is 80263249933. The reversal of 80263249920 is 2994236208.

It is a Jordan-Polya number, since it can be written as 9! ⋅ (4!)³ ⋅ (2!)⁴.

80263249920 is a `hidden beast` number, since 8 + 0 + 2 + 632 + 4 + 9 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11466178557 + ... + 11466178563.

It is an arithmetic number, because the mean of its divisors is an integer number (491332520).

Almost surely, 2^80263249920 is an apocalyptic number.

80263249920 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 80263249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165087726720).

80263249920 is an abundant number, since it is smaller than the sum of its proper divisors (249912203520).

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

80263249920 is an frugal number, since it uses more digits than its factorization.

80263249920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 80263249920 in words is "eighty billion, two hundred sixty-three million, two hundred forty-nine thousand, nine hundred twenty".