80417525760 has 1248 divisors, whose sum is σ = 342612885888. Its totient is φ = 17836277760.

The previous prime is 80417525753. The next prime is 80417525761. The reversal of 80417525760 is 6752571408.

80417525760 is a `hidden beast` number, since 8 + 0 + 4 + 1 + 75 + 2 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

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

It is not an unprimeable number, because it can be changed into a prime (80417525761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 711659464 + ... + 711659576.

It is an arithmetic number, because the mean of its divisors is an integer number (274529556).

Almost surely, 2^80417525760 is an apocalyptic number.

80417525760 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 80417525760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171306442944).

80417525760 is an abundant number, since it is smaller than the sum of its proper divisors (262195360128).

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

80417525760 is a wasteful number, since it uses less digits than its factorization.

80417525760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 80417525760 in words is "eighty billion, four hundred seventeen million, five hundred twenty-five thousand, seven hundred sixty".