87867331200 has 768 divisors, whose sum is σ = 356977152000. Its totient is φ = 20926771200.

The previous prime is 87867331193. The next prime is 87867331219. The reversal of 87867331200 is 213376878.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56072817 + ... + 56074383.

It is an arithmetic number, because the mean of its divisors is an integer number (464814000).

Almost surely, 2^87867331200 is an apocalyptic number.

87867331200 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 87867331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178488576000).

87867331200 is an abundant number, since it is smaller than the sum of its proper divisors (269109820800).

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

87867331200 is a wasteful number, since it uses less digits than its factorization.

87867331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 87867331200 in words is "eighty-seven billion, eight hundred sixty-seven million, three hundred thirty-one thousand, two hundred".