87041446800 has 720 divisors, whose sum is σ = 362457217920. Its totient is φ = 17456947200.

The previous prime is 87041446783. The next prime is 87041446831. The reversal of 87041446800 is 864414078.

It is a happy number.

It is a super-3 number, since 3×87041446800³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29474124 + ... + 29477076.

Almost surely, 2^87041446800 is an apocalyptic number.

87041446800 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 87041446800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181228608960).

87041446800 is an abundant number, since it is smaller than the sum of its proper divisors (275415771120).

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

87041446800 is a wasteful number, since it uses less digits than its factorization.

87041446800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3032 (or 3010 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The spelling of 87041446800 in words is "eighty-seven billion, forty-one million, four hundred forty-six thousand, eight hundred".