87655945432380 has 384 divisors, whose sum is σ = 278095806406656. Its totient is φ = 20482611609600.

The previous prime is 87655945432373. The next prime is 87655945432439. The reversal of 87655945432380 is 8323454955678.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 264871615 + ... + 265202345.

It is an arithmetic number, because the mean of its divisors is an integer number (724207829184).

Almost surely, 2^{87655945432380} 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 87655945432380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139047903203328).

87655945432380 is an abundant number, since it is smaller than the sum of its proper divisors (190439860974276).

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

87655945432380 is a wasteful number, since it uses less digits than its factorization.

87655945432380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330997 (or 330995 counting only the distinct ones).

The product of its (nonzero) digits is 870912000, while the sum is 69.

The spelling of 87655945432380 in words is "eighty-seven trillion, six hundred fifty-five billion, nine hundred forty-five million, four hundred thirty-two thousand, three hundred eighty".