87430320000 has 640 divisors, whose sum is σ = 341558791200. Its totient is φ = 21934080000.

The previous prime is 87430319971. The next prime is 87430320037. The reversal of 87430320000 is 2303478.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 36718810 + ... + 36721190.

Almost surely, 2^87430320000 is an apocalyptic number.

87430320000 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 87430320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170779395600).

87430320000 is an abundant number, since it is smaller than the sum of its proper divisors (254128471200).

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

87430320000 is a wasteful number, since it uses less digits than its factorization.

87430320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2441 (or 2408 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 87430320000 its reverse (2303478), we get a palindrome (87432623478).

The spelling of 87430320000 in words is "eighty-seven billion, four hundred thirty million, three hundred twenty thousand".