87724916736 has 168 divisors, whose sum is σ = 237565265280. Its totient is φ = 28789702656.

The previous prime is 87724916687. The next prime is 87724916753. The reversal of 87724916736 is 63761942778.

It is a super-2 number, since 2×87724916736² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 87724916736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 248512336 + ... + 248512688.

It is an arithmetic number, because the mean of its divisors is an integer number (1414078960).

Almost surely, 2^87724916736 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 87724916736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118782632640).

87724916736 is an abundant number, since it is smaller than the sum of its proper divisors (149840348544).

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

87724916736 is an frugal number, since it uses more digits than its factorization.

87724916736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 437 counting only the distinct ones).

The product of its digits is 21337344, while the sum is 60.

The spelling of 87724916736 in words is "eighty-seven billion, seven hundred twenty-four million, nine hundred sixteen thousand, seven hundred thirty-six".