87972103290880 has 128 divisors (see below), whose sum is σ = 222241930246800. Its totient is φ = 33336795856896.

The previous prime is 87972103290853. The next prime is 87972103290947. The reversal of 87972103290880 is 8809230127978.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11017017 + ... + 17242936.

Almost surely, 2^{87972103290880} is an apocalyptic number.

87972103290880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87972103290880 is an abundant number, since it is smaller than the sum of its proper divisors (134269826955920).

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

87972103290880 is an equidigital number, since it uses as much as digits as its factorization.

87972103290880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28260007 (or 28259979 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 64.

The spelling of 87972103290880 in words is "eighty-seven trillion, nine hundred seventy-two billion, one hundred three million, two hundred ninety thousand, eight hundred eighty".