87127488000 has 1200 divisors, whose sum is σ = 378633381984. Its totient is φ = 19914854400.

The previous prime is 87127487981. The next prime is 87127488083. The reversal of 87127488000 is 88472178.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 12446783997 + ... + 12446784003.

Almost surely, 2^87127488000 is an apocalyptic number.

87127488000 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 87127488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189316690992).

87127488000 is an abundant number, since it is smaller than the sum of its proper divisors (291505893984).

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

87127488000 is an frugal number, since it uses more digits than its factorization.

87127488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The spelling of 87127488000 in words is "eighty-seven billion, one hundred twenty-seven million, four hundred eighty-eight thousand".