87304988447712 has 1920 divisors, whose sum is σ = 319594721402880. Its totient is φ = 22844927508480.

The previous prime is 87304988447657. The next prime is 87304988447773. The reversal of 87304988447712 is 21774488940378.

87304988447712 is a `hidden beast` number, since 8 + 7 + 3 + 0 + 498 + 84 + 47 + 7 + 12 = 666.

It is a super-2 number, since 2×87304988447712² (a number of 29 digits) contains 22 as substring.

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 319 ways as a sum of consecutive naturals, for example, 207375269262 + ... + 207375269682.

It is an arithmetic number, because the mean of its divisors is an integer number (166455584064).

Almost surely, 2^{87304988447712} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87304988447712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159797360701440).

87304988447712 is an abundant number, since it is smaller than the sum of its proper divisors (232289732955168).

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

87304988447712 is a wasteful number, since it uses less digits than its factorization.

87304988447712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 606928896, while the sum is 72.

The spelling of 87304988447712 in words is "eighty-seven trillion, three hundred four billion, nine hundred eighty-eight million, four hundred forty-seven thousand, seven hundred twelve".