87725459808 has 240 divisors, whose sum is σ = 295328436480. Its totient is φ = 25024184064.

The previous prime is 87725459761. The next prime is 87725459813. The reversal of 87725459808 is 80895452778.

87725459808 is a `hidden beast` number, since 8 + 7 + 7 + 2 + 545 + 9 + 80 + 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 39 ways as a sum of consecutive naturals, for example, 12388813 + ... + 12395891.

It is an arithmetic number, because the mean of its divisors is an integer number (1230535152).

Almost surely, 2^87725459808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87725459808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147664218240).

87725459808 is an abundant number, since it is smaller than the sum of its proper divisors (207602976672).

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

87725459808 is a wasteful number, since it uses less digits than its factorization.

87725459808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7791 (or 7774 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 63.

The spelling of 87725459808 in words is "eighty-seven billion, seven hundred twenty-five million, four hundred fifty-nine thousand, eight hundred eight".