87459840000 has 900 divisors, whose sum is σ = 344659951636. Its totient is φ = 21233664000.

The previous prime is 87459839963. The next prime is 87459840001. The reversal of 87459840000 is 4895478.

It can be written as a sum of positive squares in 10 ways, for example, as 77720518656 + 9739321344 = 278784^2 + 98688^2 .

It is a tau number, because it is divible by the number of its divisors (900).

It is a super-2 number, since 2×87459840000² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87459840001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1198079964 + ... + 1198080036.

Almost surely, 2^87459840000 is an apocalyptic number.

87459840000 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 87459840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172329975818).

87459840000 is an abundant number, since it is smaller than the sum of its proper divisors (257200111636).

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

87459840000 is an equidigital number, since it uses as much as digits as its factorization.

87459840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 87459840000 in words is "eighty-seven billion, four hundred fifty-nine million, eight hundred forty thousand".