87971069952 has 228 divisors, whose sum is σ = 263741526776. Its totient is φ = 29302456320.

The previous prime is 87971069929. The next prime is 87971069983. The reversal of 87971069952 is 25996017978.

It is a self number, because there is not a number n which added to its sum of digits gives 87971069952.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63700302 + ... + 63701682.

Almost surely, 2^87971069952 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 87971069952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131870763388).

87971069952 is an abundant number, since it is smaller than the sum of its proper divisors (175770456824).

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

87971069952 is an frugal number, since it uses more digits than its factorization.

87971069952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 63.

The spelling of 87971069952 in words is "eighty-seven billion, nine hundred seventy-one million, sixty-nine thousand, nine hundred fifty-two".