87339803409792 has 256 divisors, whose sum is σ = 262269412704000. Its totient is φ = 28609533849600.

The previous prime is 87339803409721. The next prime is 87339803409853. The reversal of 87339803409792 is 29790430893378.

87339803409792 is a `hidden beast` number, since 8 + 7 + 3 + 39 + 80 + 340 + 97 + 92 = 666.

It is a super-2 number, since 2×87339803409792² (a number of 29 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 87339803409792.

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, 49265167 + ... + 51007217.

It is an arithmetic number, because the mean of its divisors is an integer number (1024489893375).

Almost surely, 2^{87339803409792} 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 87339803409792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131134706352000).

87339803409792 is an abundant number, since it is smaller than the sum of its proper divisors (174929609294208).

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

87339803409792 is a wasteful number, since it uses less digits than its factorization.

87339803409792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742326 (or 1742308 counting only the distinct ones).

The product of its (nonzero) digits is 493807104, while the sum is 72.

The spelling of 87339803409792 in words is "eighty-seven trillion, three hundred thirty-nine billion, eight hundred three million, four hundred nine thousand, seven hundred ninety-two".