87429805602480 has 4800 divisors, whose sum is σ = 384827969433600. Its totient is φ = 18281985638400.

The previous prime is 87429805602437. The next prime is 87429805602497. The reversal of 87429805602480 is 8420650892478.

87429805602480 is a `hidden beast` number, since 8 + 7 + 4 + 2 + 98 + 0 + 5 + 60 + 2 + 480 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 982357366276 + ... + 982357366364.

It is an arithmetic number, because the mean of its divisors is an integer number (80172493632).

Almost surely, 2^{87429805602480} is an apocalyptic number.

87429805602480 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 87429805602480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192413984716800).

87429805602480 is an abundant number, since it is smaller than the sum of its proper divisors (297398163831120).

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

87429805602480 is a wasteful number, since it uses less digits than its factorization.

87429805602480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 87429805602480 in words is "eighty-seven trillion, four hundred twenty-nine billion, eight hundred five million, six hundred two thousand, four hundred eighty".