87207968000 has 144 divisors (see below), whose sum is σ = 217956617424. Its totient is φ = 34769100800.

The previous prime is 87207967933. The next prime is 87207968011. The reversal of 87207968000 is 86970278.

It can be written as a sum of positive squares in 8 ways, for example, as 42291099904 + 44916868096 = 205648^2 + 211936^2 .

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10139702 + ... + 10148298.

It is an arithmetic number, because the mean of its divisors is an integer number (1513587621).

Almost surely, 2^87207968000 is an apocalyptic number.

87207968000 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 87207968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108978308712).

87207968000 is an abundant number, since it is smaller than the sum of its proper divisors (130748649424).

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

87207968000 is an equidigital number, since it uses as much as digits as its factorization.

87207968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8945 (or 8921 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 47.

The spelling of 87207968000 in words is "eighty-seven billion, two hundred seven million, nine hundred sixty-eight thousand".