87392010240 has 240 divisors, whose sum is σ = 310725528960. Its totient is φ = 23303946240.

The previous prime is 87392010239. The next prime is 87392010287. The reversal of 87392010240 is 4201029378.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×87392010240³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 87392010195 and 87392010204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2192085 + ... + 2231595.

It is an arithmetic number, because the mean of its divisors is an integer number (1294689704).

Almost surely, 2^87392010240 is an apocalyptic number.

87392010240 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 87392010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155362764480).

87392010240 is an abundant number, since it is smaller than the sum of its proper divisors (223333518720).

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

87392010240 is an equidigital number, since it uses as much as digits as its factorization.

87392010240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39553 (or 39521 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 87392010240 in words is "eighty-seven billion, three hundred ninety-two million, ten thousand, two hundred forty".