87843331440 has 320 divisors, whose sum is σ = 317872512000. Its totient is φ = 22254160896.

The previous prime is 87843331409. The next prime is 87843331469. The reversal of 87843331440 is 4413334878.

87843331440 is a `hidden beast` number, since 8 + 78 + 433 + 3 + 144 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7396387 + ... + 7408253.

It is an arithmetic number, because the mean of its divisors is an integer number (993351600).

Almost surely, 2^87843331440 is an apocalyptic number.

87843331440 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 87843331440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158936256000).

87843331440 is an abundant number, since it is smaller than the sum of its proper divisors (230029180560).

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

87843331440 is a wasteful number, since it uses less digits than its factorization.

87843331440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12061 (or 12049 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 87843331440 in words is "eighty-seven billion, eight hundred forty-three million, three hundred thirty-one thousand, four hundred forty".