87637968513172 has 192 divisors, whose sum is σ = 208077890549760. Its totient is φ = 31269572812800.

The previous prime is 87637968513149. The next prime is 87637968513197. The reversal of 87637968513172 is 27131586973678.

It is a junction number, because it is equal to n+sod(n) for n = 87637968513095 and 87637968513104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22613472 + ... + 26203912.

It is an arithmetic number, because the mean of its divisors is an integer number (1083739013280).

Almost surely, 2^{87637968513172} 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 87637968513172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104038945274880).

87637968513172 is an abundant number, since it is smaller than the sum of its proper divisors (120439922036588).

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

87637968513172 is a wasteful number, since it uses less digits than its factorization.

87637968513172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3590622 (or 3590620 counting only the distinct ones).

The product of its digits is 640120320, while the sum is 73.

The spelling of 87637968513172 in words is "eighty-seven trillion, six hundred thirty-seven billion, nine hundred sixty-eight million, five hundred thirteen thousand, one hundred seventy-two".