87429858860080 has 80 divisors (see below), whose sum is σ = 224245531965600. Its totient is φ = 31435454842880.

The previous prime is 87429858860059. The next prime is 87429858860131. The reversal of 87429858860080 is 8006885892478.

87429858860080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (73) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 87429858859985 and 87429858860012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 558079615 + ... + 558236254.

It is an arithmetic number, because the mean of its divisors is an integer number (2803069149570).

Almost surely, 2^{87429858860080} is an apocalyptic number.

87429858860080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87429858860080 is an abundant number, since it is smaller than the sum of its proper divisors (136815673105520).

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

87429858860080 is a wasteful number, since it uses less digits than its factorization.

87429858860080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116315982 (or 1116315976 counting only the distinct ones).

The product of its (nonzero) digits is 495452160, while the sum is 73.

The spelling of 87429858860080 in words is "eighty-seven trillion, four hundred twenty-nine billion, eight hundred fifty-eight million, eight hundred sixty thousand, eighty".