87303388993920 has 768 divisors, whose sum is σ = 334639164974400. Its totient is φ = 20970087874560.

The previous prime is 87303388993897. The next prime is 87303388993981. The reversal of 87303388993920 is 2939988330378.

87303388993920 is a `hidden beast` number, since 8 + 73 + 0 + 3 + 3 + 88 + 99 + 392 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 835602804 + ... + 835707276.

Almost surely, 2^{87303388993920} is an apocalyptic number.

87303388993920 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 87303388993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167319582487200).

87303388993920 is an abundant number, since it is smaller than the sum of its proper divisors (247335775980480).

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

87303388993920 is a wasteful number, since it uses less digits than its factorization.

87303388993920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104640 (or 104603 counting only the distinct ones).

The product of its (nonzero) digits is 423263232, while the sum is 72.

The spelling of 87303388993920 in words is "eighty-seven trillion, three hundred three billion, three hundred eighty-eight million, nine hundred ninety-three thousand, nine hundred twenty".