87409708848 has 960 divisors, whose sum is σ = 338325012480. Its totient is φ = 21339521280.

The previous prime is 87409708787. The next prime is 87409708871. The reversal of 87409708848 is 84880790478.

87409708848 is a `hidden beast` number, since 87 + 409 + 70 + 8 + 84 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 688265361 + ... + 688265487.

It is an arithmetic number, because the mean of its divisors is an integer number (352421888).

Almost surely, 2^87409708848 is an apocalyptic number.

87409708848 is a gapful number since it is divisible by the number (88) 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 87409708848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169162506240).

87409708848 is an abundant number, since it is smaller than the sum of its proper divisors (250915303632).

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

87409708848 is a wasteful number, since it uses less digits than its factorization.

87409708848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 63.

The spelling of 87409708848 in words is "eighty-seven billion, four hundred nine million, seven hundred eight thousand, eight hundred forty-eight".