87361297920 has 480 divisors, whose sum is σ = 334679016672. Its totient is φ = 20920467456.

The previous prime is 87361297901. The next prime is 87361297937. The reversal of 87361297920 is 2979216378.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11078299 + ... + 11086181.

Almost surely, 2^87361297920 is an apocalyptic number.

87361297920 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 87361297920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167339508336).

87361297920 is an abundant number, since it is smaller than the sum of its proper divisors (247317718752).

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

87361297920 is a wasteful number, since it uses less digits than its factorization.

87361297920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7962 (or 7943 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 87361297920 in words is "eighty-seven billion, three hundred sixty-one million, two hundred ninety-seven thousand, nine hundred twenty".