87824736000 has 720 divisors, whose sum is σ = 337674425088. Its totient is φ = 22643712000.

The previous prime is 87824735993. The next prime is 87824736019. The reversal of 87824736000 is 63742878.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 80351454 + ... + 80352546.

Almost surely, 2^87824736000 is an apocalyptic number.

87824736000 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 87824736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168837212544).

87824736000 is an abundant number, since it is smaller than the sum of its proper divisors (249849689088).

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

87824736000 is a wasteful number, since it uses less digits than its factorization.

87824736000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 87824736000 in words is "eighty-seven billion, eight hundred twenty-four million, seven hundred thirty-six thousand".