87682463493120 has 528 divisors, whose sum is σ = 317274480057600. Its totient is φ = 22347916935168.

The previous prime is 87682463493061. The next prime is 87682463493137. The reversal of 87682463493120 is 2139436428678.

87682463493120 is a `hidden beast` number, since 8 + 7 + 6 + 8 + 2 + 463 + 49 + 3 + 120 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1385179231 + ... + 1385242529.

Almost surely, 2^{87682463493120} is an apocalyptic number.

87682463493120 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 87682463493120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158637240028800).

87682463493120 is an abundant number, since it is smaller than the sum of its proper divisors (229592016564480).

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

87682463493120 is a wasteful number, since it uses less digits than its factorization.

87682463493120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64660 (or 64639 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 87682463493120 in words is "eighty-seven trillion, six hundred eighty-two billion, four hundred sixty-three million, four hundred ninety-three thousand, one hundred twenty".