87988249440 has 432 divisors, whose sum is σ = 376153687728. Its totient is φ = 18564360192.

The previous prime is 87988249421. The next prime is 87988249451. The reversal of 87988249440 is 4494288978.

87988249440 is a `hidden beast` number, since 8 + 79 + 8 + 82 + 49 + 440 = 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 71 ways as a sum of consecutive naturals, for example, 869319 + ... + 965241.

It is an arithmetic number, because the mean of its divisors is an integer number (870726129).

Almost surely, 2^87988249440 is an apocalyptic number.

87988249440 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 87988249440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188076843864).

87988249440 is an abundant number, since it is smaller than the sum of its proper divisors (288165438288).

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

87988249440 is a wasteful number, since it uses less digits than its factorization.

87988249440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95971 (or 95953 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 87988249440 in words is "eighty-seven billion, nine hundred eighty-eight million, two hundred forty-nine thousand, four hundred forty".