87094333440 has 312 divisors, whose sum is σ = 304279005888. Its totient is φ = 23041474560.

The previous prime is 87094333439. The next prime is 87094333471. The reversal of 87094333440 is 4433349078.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24144117 + ... + 24147723.

It is an arithmetic number, because the mean of its divisors is an integer number (975253224).

Almost surely, 2^87094333440 is an apocalyptic number.

87094333440 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 87094333440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152139502944).

87094333440 is an abundant number, since it is smaller than the sum of its proper divisors (217184672448).

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

87094333440 is a wasteful number, since it uses less digits than its factorization.

87094333440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3773 (or 3748 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 87094333440 in words is "eighty-seven billion, ninety-four million, three hundred thirty-three thousand, four hundred forty".