80562245137920 has 640 divisors, whose sum is σ = 352201637652480. Its totient is φ = 16997747097600.

The previous prime is 80562245137909. The next prime is 80562245137931. The reversal of 80562245137920 is 2973154226508.

80562245137920 is a `hidden beast` number, since 8 + 0 + 5 + 6 + 2 + 245 + 1 + 379 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (80562245137909) and next prime (80562245137931).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 114156 + ... + 12693995.

It is an arithmetic number, because the mean of its divisors is an integer number (550315058832).

It is a 1-persistent number, because it is pandigital, but 2⋅80562245137920 = 161124490275840 is not.

Almost surely, 2^{80562245137920} is an apocalyptic number.

80562245137920 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 80562245137920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176100818826240).

80562245137920 is an abundant number, since it is smaller than the sum of its proper divisors (271639392514560).

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

80562245137920 is a wasteful number, since it uses less digits than its factorization.

80562245137920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12808203 (or 12808181 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 80562245137920 in words is "eighty trillion, five hundred sixty-two billion, two hundred forty-five million, one hundred thirty-seven thousand, nine hundred twenty".