87187968000 has 1664 divisors, whose sum is σ = 397445667840. Its totient is φ = 18402508800.

The previous prime is 87187967987. The next prime is 87187968001. The reversal of 87187968000 is 86978178.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87187968001) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1645055974 + ... + 1645056026.

It is an arithmetic number, because the mean of its divisors is an integer number (238849560).

Almost surely, 2^87187968000 is an apocalyptic number.

87187968000 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 87187968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198722833920).

87187968000 is an abundant number, since it is smaller than the sum of its proper divisors (310257699840).

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

87187968000 is a wasteful number, since it uses less digits than its factorization.

87187968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The spelling of 87187968000 in words is "eighty-seven billion, one hundred eighty-seven million, nine hundred sixty-eight thousand".