87608790000 has 600 divisors, whose sum is σ = 328259323392. Its totient is φ = 22589280000.

The previous prime is 87608789987. The next prime is 87608790007. The reversal of 87608790000 is 9780678.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87608790007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 75329419 + ... + 75330581.

Almost surely, 2^87608790000 is an apocalyptic number.

87608790000 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 87608790000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164129661696).

87608790000 is an abundant number, since it is smaller than the sum of its proper divisors (240650533392).

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

87608790000 is a wasteful number, since it uses less digits than its factorization.

87608790000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 87608790000 in words is "eighty-seven billion, six hundred eight million, seven hundred ninety thousand".