87727618272 has 96 divisors (see below), whose sum is σ = 264113402112. Its totient is φ = 24976410624.

The previous prime is 87727618271. The next prime is 87727618289. The reversal of 87727618272 is 27281672778.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×87727618272² (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87727618271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40473 + ... + 420824.

It is an arithmetic number, because the mean of its divisors is an integer number (2751181272).

Almost surely, 2^87727618272 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 87727618272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132056701056).

87727618272 is an abundant number, since it is smaller than the sum of its proper divisors (176385783840).

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

87727618272 is a wasteful number, since it uses less digits than its factorization.

87727618272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461600 (or 461592 counting only the distinct ones).

The product of its digits is 7375872, while the sum is 57.

The spelling of 87727618272 in words is "eighty-seven billion, seven hundred twenty-seven million, six hundred eighteen thousand, two hundred seventy-two".