82575495040 has 128 divisors (see below), whose sum is σ = 200999233440. Its totient is φ = 32431104000.

The previous prime is 82575495017. The next prime is 82575495043. The reversal of 82575495040 is 4059457528.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×82575495040² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82575495043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26975110 + ... + 26978170.

Almost surely, 2^82575495040 is an apocalyptic number.

82575495040 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 82575495040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100499616720).

82575495040 is an abundant number, since it is smaller than the sum of its proper divisors (118423738400).

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

82575495040 is a wasteful number, since it uses less digits than its factorization.

82575495040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3832 (or 3820 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 49.

The spelling of 82575495040 in words is "eighty-two billion, five hundred seventy-five million, four hundred ninety-five thousand, forty".