87281025871920 has 80 divisors (see below), whose sum is σ = 270664902885120. Its totient is φ = 23266878066432.

The previous prime is 87281025871891. The next prime is 87281025871927. The reversal of 87281025871920 is 2917852018278.

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

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (87281025871927) 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, 62291350 + ... + 63677109.

It is an arithmetic number, because the mean of its divisors is an integer number (3383311286064).

Almost surely, 2^{87281025871920} is an apocalyptic number.

87281025871920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87281025871920 is an abundant number, since it is smaller than the sum of its proper divisors (183383877013200).

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

87281025871920 is a wasteful number, since it uses less digits than its factorization.

87281025871920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125971362 (or 125971356 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 60.

The spelling of 87281025871920 in words is "eighty-seven trillion, two hundred eighty-one billion, twenty-five million, eight hundred seventy-one thousand, nine hundred twenty".