87848893440 has 1584 divisors, whose sum is σ = 403645866624. Its totient is φ = 18114969600.

The previous prime is 87848893361. The next prime is 87848893441. The reversal of 87848893440 is 4439884878.

87848893440 is a `hidden beast` number, since 8 + 78 + 48 + 89 + 3 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87848893441) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 670602175 + ... + 670602305.

It is an arithmetic number, because the mean of its divisors is an integer number (254826936).

Almost surely, 2^87848893440 is an apocalyptic number.

87848893440 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 87848893440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201822933312).

87848893440 is an abundant number, since it is smaller than the sum of its proper divisors (315796973184).

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

87848893440 is a wasteful number, since it uses less digits than its factorization.

87848893440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 87848893440 in words is "eighty-seven billion, eight hundred forty-eight million, eight hundred ninety-three thousand, four hundred forty".