87444035663920 has 80 divisors (see below), whose sum is σ = 231825613148640. Its totient is φ = 30387791572992.

The previous prime is 87444035663849. The next prime is 87444035663923. The reversal of 87444035663920 is 2936653044478.

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

It is not an unprimeable number, because it can be changed into a prime (87444035663923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2472947130 + ... + 2472982489.

It is an arithmetic number, because the mean of its divisors is an integer number (2897820164358).

Almost surely, 2^{87444035663920} is an apocalyptic number.

87444035663920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87444035663920 is an abundant number, since it is smaller than the sum of its proper divisors (144381577484720).

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

87444035663920 is a wasteful number, since it uses less digits than its factorization.

87444035663920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4945929662 (or 4945929656 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 61.

The spelling of 87444035663920 in words is "eighty-seven trillion, four hundred forty-four billion, thirty-five million, six hundred sixty-three thousand, nine hundred twenty".