87300250380 has 576 divisors, whose sum is σ = 334120550400. Its totient is φ = 17989931520.

The previous prime is 87300250339. The next prime is 87300250397. The reversal of 87300250380 is 8305200378.

87300250380 is a `hidden beast` number, since 8 + 73 + 0 + 0 + 2 + 503 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 182254981 + ... + 182255459.

It is an arithmetic number, because the mean of its divisors is an integer number (580070400).

Almost surely, 2^87300250380 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 87300250380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167060275200).

87300250380 is an abundant number, since it is smaller than the sum of its proper divisors (246820300020).

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

87300250380 is a wasteful number, since it uses less digits than its factorization.

87300250380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 87300250380 in words is "eighty-seven billion, three hundred million, two hundred fifty thousand, three hundred eighty".