87513903360 has 864 divisors, whose sum is σ = 353234988288. Its totient is φ = 20583383040.

The previous prime is 87513903293. The next prime is 87513903377. The reversal of 87513903360 is 6330931578.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93000490 + ... + 93001430.

It is an arithmetic number, because the mean of its divisors is an integer number (408836792).

Almost surely, 2^87513903360 is an apocalyptic number.

87513903360 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 87513903360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176617494144).

87513903360 is an abundant number, since it is smaller than the sum of its proper divisors (265721084928).

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

87513903360 is a wasteful number, since it uses less digits than its factorization.

87513903360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 87513903360 in words is "eighty-seven billion, five hundred thirteen million, nine hundred three thousand, three hundred sixty".