87052708800 has 1008 divisors, whose sum is σ = 338983636992. Its totient is φ = 21946982400.

The previous prime is 87052708793. The next prime is 87052708801. The reversal of 87052708800 is 880725078.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87052708801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 685454337 + ... + 685454463.

Almost surely, 2^87052708800 is an apocalyptic number.

87052708800 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 87052708800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169491818496).

87052708800 is an abundant number, since it is smaller than the sum of its proper divisors (251930928192).

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

87052708800 is a wasteful number, since it uses less digits than its factorization.

87052708800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 87052708800 in words is "eighty-seven billion, fifty-two million, seven hundred eight thousand, eight hundred".