87281809734 has 128 divisors (see below), whose sum is σ = 213728025600. Its totient is φ = 23194828800.

The previous prime is 87281809723. The next prime is 87281809757. The reversal of 87281809734 is 43790818278.

It is a super-2 number, since 2×87281809734² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61945222 + ... + 61946630.

It is an arithmetic number, because the mean of its divisors is an integer number (1669750200).

Almost surely, 2^87281809734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87281809734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106864012800).

87281809734 is an abundant number, since it is smaller than the sum of its proper divisors (126446215866).

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

87281809734 is a wasteful number, since it uses less digits than its factorization.

87281809734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2398.

The product of its (nonzero) digits is 5419008, while the sum is 57.

The spelling of 87281809734 in words is "eighty-seven billion, two hundred eighty-one million, eight hundred nine thousand, seven hundred thirty-four".