87094405440 has 1792 divisors, whose sum is σ = 404501299200. Its totient is φ = 17167417344.

The previous prime is 87094405393. The next prime is 87094405451. The reversal of 87094405440 is 4450449078.

87094405440 is a `hidden beast` number, since 87 + 0 + 94 + 40 + 5 + 440 = 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 255 ways as a sum of consecutive naturals, for example, 685782657 + ... + 685782783.

Almost surely, 2^87094405440 is an apocalyptic number.

87094405440 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 87094405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202250649600).

87094405440 is an abundant number, since it is smaller than the sum of its proper divisors (317406893760).

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

87094405440 is a wasteful number, since it uses less digits than its factorization.

87094405440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 87094405440 in words is "eighty-seven billion, ninety-four million, four hundred five thousand, four hundred forty".