87121549800 has 144 divisors (see below), whose sum is σ = 292698900000. Its totient is φ = 23223227520.

The previous prime is 87121549681. The next prime is 87121549811. The reversal of 87121549800 is 894512178.

87121549800 is a `hidden beast` number, since 8 + 7 + 1 + 21 + 549 + 80 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5390131 + ... + 5406269.

It is an arithmetic number, because the mean of its divisors is an integer number (2032631250).

Almost surely, 2^87121549800 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 87121549800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146349450000).

87121549800 is an abundant number, since it is smaller than the sum of its proper divisors (205577350200).

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

87121549800 is a wasteful number, since it uses less digits than its factorization.

87121549800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19160 (or 19148 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 87121549800 in words is "eighty-seven billion, one hundred twenty-one million, five hundred forty-nine thousand, eight hundred".