87625647200 has 288 divisors, whose sum is σ = 264181466304. Its totient is φ = 27637309440.

The previous prime is 87625647157. The next prime is 87625647223. The reversal of 87625647200 is 274652678.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23075702 + ... + 23079498.

It is an arithmetic number, because the mean of its divisors is an integer number (917296758).

Almost surely, 2^87625647200 is an apocalyptic number.

87625647200 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 87625647200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132090733152).

87625647200 is an abundant number, since it is smaller than the sum of its proper divisors (176555819104).

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

87625647200 is a wasteful number, since it uses less digits than its factorization.

87625647200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4154 (or 4141 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 47.

The spelling of 87625647200 in words is "eighty-seven billion, six hundred twenty-five million, six hundred forty-seven thousand, two hundred".