87271992000 has 336 divisors, whose sum is σ = 323756133792. Its totient is φ = 23272012800.

The previous prime is 87271991977. The next prime is 87271992007. The reversal of 87271992000 is 29917278.

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

It is not an unprimeable number, because it can be changed into a prime (87271992007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1921554 + ... + 1966446.

It is an arithmetic number, because the mean of its divisors is an integer number (963559922).

Almost surely, 2^87271992000 is an apocalyptic number.

87271992000 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 87271992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161878066896).

87271992000 is an abundant number, since it is smaller than the sum of its proper divisors (236484141792).

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

87271992000 is an equidigital number, since it uses as much as digits as its factorization.

87271992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44935 (or 44903 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 87271992000 in words is "eighty-seven billion, two hundred seventy-one million, nine hundred ninety-two thousand".