87173283456 has 448 divisors, whose sum is σ = 305703530880. Its totient is φ = 24226781184.

The previous prime is 87173283433. The next prime is 87173283467. The reversal of 87173283456 is 65438237178.

It is a happy number.

87173283456 is a `hidden beast` number, since 87 + 1 + 7 + 32 + 83 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 24166005 + ... + 24169611.

Almost surely, 2^87173283456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87173283456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152851765440).

87173283456 is an abundant number, since it is smaller than the sum of its proper divisors (218530247424).

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

87173283456 is an equidigital number, since it uses as much as digits as its factorization.

87173283456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3683 (or 3656 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 87173283456 in words is "eighty-seven billion, one hundred seventy-three million, two hundred eighty-three thousand, four hundred fifty-six".