87416652000 has 768 divisors, whose sum is σ = 327156350976. Its totient is φ = 20275200000.

The previous prime is 87416651989. The next prime is 87416652013. The reversal of 87416652000 is 25661478.

It is a self number, because there is not a number n which added to its sum of digits gives 87416652000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 145451700 + ... + 145452300.

It is an arithmetic number, because the mean of its divisors is an integer number (425984832).

Almost surely, 2^87416652000 is an apocalyptic number.

87416652000 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 87416652000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163578175488).

87416652000 is an abundant number, since it is smaller than the sum of its proper divisors (239739698976).

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

87416652000 is a wasteful number, since it uses less digits than its factorization.

87416652000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 87416652000 in words is "eighty-seven billion, four hundred sixteen million, six hundred fifty-two thousand".