87300505600 has 456 divisors, whose sum is σ = 271488391488. Its totient is φ = 27053260800.

The previous prime is 87300505547. The next prime is 87300505613. The reversal of 87300505600 is 650500378.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 504627114 + ... + 504627286.

Almost surely, 2^87300505600 is an apocalyptic number.

87300505600 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 87300505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135744195744).

87300505600 is an abundant number, since it is smaller than the sum of its proper divisors (184187885888).

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

87300505600 is an equidigital number, since it uses as much as digits as its factorization.

87300505600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

It can be divided in two parts, 87300 and 505600, that added together give a square (592900 = 770²).

The spelling of 87300505600 in words is "eighty-seven billion, three hundred million, five hundred five thousand, six hundred".