87355407384 has 192 divisors, whose sum is σ = 276357120000. Its totient is φ = 24917699520.

The previous prime is 87355407371. The next prime is 87355407427. The reversal of 87355407384 is 48370455378.

It is a happy number.

87355407384 is a `hidden beast` number, since 8 + 7 + 3 + 554 + 0 + 7 + 3 + 84 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 87355407384.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17062377 + ... + 17067495.

It is an arithmetic number, because the mean of its divisors is an integer number (1439360000).

Almost surely, 2^87355407384 is an apocalyptic number.

87355407384 is a gapful number since it is divisible by the number (84) 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 87355407384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138178560000).

87355407384 is an abundant number, since it is smaller than the sum of its proper divisors (189001712616).

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

87355407384 is a wasteful number, since it uses less digits than its factorization.

87355407384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5843 (or 5822 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 87355407384 in words is "eighty-seven billion, three hundred fifty-five million, four hundred seven thousand, three hundred eighty-four".