80953844160 has 448 divisors, whose sum is σ = 312973516800. Its totient is φ = 17316384768.

The previous prime is 80953844159. The next prime is 80953844171. The reversal of 80953844160 is 6144835908.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×80953844160² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 10593621 + ... + 10601259.

It is an arithmetic number, because the mean of its divisors is an integer number (698601600).

Almost surely, 2^80953844160 is an apocalyptic number.

80953844160 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 80953844160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156486758400).

80953844160 is an abundant number, since it is smaller than the sum of its proper divisors (232019672640).

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

80953844160 is a wasteful number, since it uses less digits than its factorization.

80953844160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7768 (or 7758 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 80953844160 in words is "eighty billion, nine hundred fifty-three million, eight hundred forty-four thousand, one hundred sixty".