87908451840 has 480 divisors, whose sum is σ = 337815878400. Its totient is φ = 20946370560.

The previous prime is 87908451833. The next prime is 87908451853. The reversal of 87908451840 is 4815480978.

87908451840 is a `hidden beast` number, since 8 + 7 + 9 + 0 + 84 + 518 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14950021 + ... + 14955899.

It is an arithmetic number, because the mean of its divisors is an integer number (703783080).

Almost surely, 2^87908451840 is an apocalyptic number.

87908451840 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 87908451840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168907939200).

87908451840 is an abundant number, since it is smaller than the sum of its proper divisors (249907426560).

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

87908451840 is a wasteful number, since it uses less digits than its factorization.

87908451840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5978 (or 5959 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 87908451840 in words is "eighty-seven billion, nine hundred eight million, four hundred fifty-one thousand, eight hundred forty".