87609197976048 has 1280 divisors, whose sum is σ = 319658397696000. Its totient is φ = 22397961535488.

The previous prime is 87609197976007. The next prime is 87609197976103. The reversal of 87609197976048 is 84067979190678.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 50846892915 + ... + 50846894637.

It is an arithmetic number, because the mean of its divisors is an integer number (249733123200).

Almost surely, 2^{87609197976048} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87609197976048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159829198848000).

87609197976048 is an abundant number, since it is smaller than the sum of its proper divisors (232049199719952).

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

87609197976048 is a wasteful number, since it uses less digits than its factorization.

87609197976048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2251 (or 2239 counting only the distinct ones).

The product of its (nonzero) digits is 2304433152, while the sum is 81.

The spelling of 87609197976048 in words is "eighty-seven trillion, six hundred nine billion, one hundred ninety-seven million, nine hundred seventy-six thousand, forty-eight".