87061083564 has 96 divisors (see below), whose sum is σ = 250587348480. Its totient is φ = 22909206528.

The previous prime is 87061083563. The next prime is 87061083667. The reversal of 87061083564 is 46538016078.

It is not an unprimeable number, because it can be changed into a prime (87061083563) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 393772 + ... + 573740.

It is an arithmetic number, because the mean of its divisors is an integer number (2610284880).

Almost surely, 2^87061083564 is an apocalyptic number.

87061083564 is a gapful number since it is divisible by the number (84) 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 87061083564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125293674240).

87061083564 is an abundant number, since it is smaller than the sum of its proper divisors (163526264916).

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

87061083564 is a wasteful number, since it uses less digits than its factorization.

87061083564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180439 (or 180437 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 87061083564 in words is "eighty-seven billion, sixty-one million, eighty-three thousand, five hundred sixty-four".