82436541120 has 336 divisors, whose sum is σ = 302182133760. Its totient is φ = 20579125248.

The previous prime is 82436541071. The next prime is 82436541139. The reversal of 82436541120 is 2114563428.

It is a happy number.

82436541120 is a `hidden beast` number, since 82 + 4 + 36 + 541 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3100041 + ... + 3126519.

Almost surely, 2^82436541120 is an apocalyptic number.

82436541120 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 82436541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151091066880).

82436541120 is an abundant number, since it is smaller than the sum of its proper divisors (219745592640).

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

82436541120 is a wasteful number, since it uses less digits than its factorization.

82436541120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26572 (or 26559 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 82436541120 in words is "eighty-two billion, four hundred thirty-six million, five hundred forty-one thousand, one hundred twenty".