87608400000 has 384 divisors, whose sum is σ = 317359062720. Its totient is φ = 21235200000.

The previous prime is 87608399971. The next prime is 87608400007. The reversal of 87608400000 is 480678.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (87608400007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13196682 + ... + 13203318.

Almost surely, 2^87608400000 is an apocalyptic number.

87608400000 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 87608400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158679531360).

87608400000 is an abundant number, since it is smaller than the sum of its proper divisors (229750662720).

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

87608400000 is an equidigital number, since it uses as much as digits as its factorization.

87608400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6690 (or 6658 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

Adding to 87608400000 its reverse (480678), we get a palindrome (87608880678).

The spelling of 87608400000 in words is "eighty-seven billion, six hundred eight million, four hundred thousand".