82128089949696 has 3200 divisors, whose sum is σ = 329675205150720. Its totient is φ = 19776864780288.

The previous prime is 82128089949671. The next prime is 82128089949709. The reversal of 82128089949696 is 69694998082128.

82128089949696 is a `hidden beast` number, since 8 + 2 + 1 + 280 + 89 + 94 + 96 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 243703530840 + ... + 243703531176.

Almost surely, 2^{82128089949696} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82128089949696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164837602575360).

82128089949696 is an abundant number, since it is smaller than the sum of its proper divisors (247547115201024).

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

82128089949696 is a wasteful number, since it uses less digits than its factorization.

82128089949696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 1934917632, while the sum is 81.

The spelling of 82128089949696 in words is "eighty-two trillion, one hundred twenty-eight billion, eighty-nine million, nine hundred forty-nine thousand, six hundred ninety-six".