82087078993920 has 6048 divisors, whose sum is σ = 410132658446784. Its totient is φ = 15597824901120.

The previous prime is 82087078993919. The next prime is 82087078993939. The reversal of 82087078993920 is 2939987078028.

82087078993920 is a `hidden beast` number, since 8 + 2 + 0 + 87 + 0 + 78 + 99 + 392 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 767168962507 + ... + 767168962613.

It is an arithmetic number, because the mean of its divisors is an integer number (67812939558).

Almost surely, 2^{82087078993920} is an apocalyptic number.

82087078993920 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 82087078993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205066329223392).

82087078993920 is an abundant number, since it is smaller than the sum of its proper divisors (328045579452864).

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

82087078993920 is a wasteful number, since it uses less digits than its factorization.

82087078993920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 72.

The spelling of 82087078993920 in words is "eighty-two trillion, eighty-seven billion, seventy-eight million, nine hundred ninety-three thousand, nine hundred twenty".