87439779072 has 288 divisors, whose sum is σ = 276337353600. Its totient is φ = 27176435712.

The previous prime is 87439778969. The next prime is 87439779073. The reversal of 87439779072 is 27097793478.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87439779073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12804523 + ... + 12811349.

It is an arithmetic number, because the mean of its divisors is an integer number (959504700).

Almost surely, 2^87439779072 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 87439779072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138168676800).

87439779072 is an abundant number, since it is smaller than the sum of its proper divisors (188897574528).

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

87439779072 is a wasteful number, since it uses less digits than its factorization.

87439779072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6978 (or 6958 counting only the distinct ones).

The product of its (nonzero) digits is 37340352, while the sum is 63.

The spelling of 87439779072 in words is "eighty-seven billion, four hundred thirty-nine million, seven hundred seventy-nine thousand, seventy-two".