80111641600 has 297 divisors, whose sum is σ = 209090370801. Its totient is φ = 30432460800.

The previous prime is 80111641523. The next prime is 80111641607. The reversal of 80111641600 is 614611108.

The square root of 80111641600 is 283040.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 79785911296 + 325730304 = 282464^2 + 18048^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (80111641607) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1313305570 + ... + 1313305630.

Almost surely, 2^80111641600 is an apocalyptic number.

80111641600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

80111641600 is the 283040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80111641600

80111641600 is an abundant number, since it is smaller than the sum of its proper divisors (128978729201).

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

80111641600 is an equidigital number, since it uses as much as digits as its factorization.

80111641600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The spelling of 80111641600 in words is "eighty billion, one hundred eleven million, six hundred forty-one thousand, six hundred".