87403381920 has 288 divisors, whose sum is σ = 311820897024. Its totient is φ = 22252032000.

The previous prime is 87403381913. The next prime is 87403381939. The reversal of 87403381920 is 2918330478.

87403381920 is a `hidden beast` number, since 87 + 403 + 3 + 81 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 19902925 + ... + 19907315.

It is an arithmetic number, because the mean of its divisors is an integer number (1082711448).

Almost surely, 2^87403381920 is an apocalyptic number.

87403381920 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 87403381920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155910448512).

87403381920 is an abundant number, since it is smaller than the sum of its proper divisors (224417515104).

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

87403381920 is a wasteful number, since it uses less digits than its factorization.

87403381920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5036 (or 5025 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 87403381920 in words is "eighty-seven billion, four hundred three million, three hundred eighty-one thousand, nine hundred twenty".