82132935785280 has 224 divisors, whose sum is σ = 306790672452480. Its totient is φ = 20613756395520.

The previous prime is 82132935785273. The next prime is 82132935785293. The reversal of 82132935785280 is 8258753923128.

82132935785280 is a `hidden beast` number, since 8 + 2 + 1 + 3 + 2 + 9 + 3 + 578 + 52 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 279445086 + ... + 279738845.

Almost surely, 2^{82132935785280} is an apocalyptic number.

82132935785280 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82132935785280 is an abundant number, since it is smaller than the sum of its proper divisors (224657736667200).

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

82132935785280 is a wasteful number, since it uses less digits than its factorization.

82132935785280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559183974 (or 559183958 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 82132935785280 in words is "eighty-two trillion, one hundred thirty-two billion, nine hundred thirty-five million, seven hundred eighty-five thousand, two hundred eighty".