86911752672 has 144 divisors (see below), whose sum is σ = 252720599040. Its totient is φ = 28325396736.

The previous prime is 86911752667. The next prime is 86911752677. The reversal of 86911752672 is 27625711968.

It is an interprime number because it is at equal distance from previous prime (86911752667) and next prime (86911752677).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86911752677) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2324913 + ... + 2361999.

It is an arithmetic number, because the mean of its divisors is an integer number (1755004160).

Almost surely, 2^86911752672 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 86911752672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126360299520).

86911752672 is an abundant number, since it is smaller than the sum of its proper divisors (165808846368).

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

86911752672 is a wasteful number, since it uses less digits than its factorization.

86911752672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37285 (or 37274 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The spelling of 86911752672 in words is "eighty-six billion, nine hundred eleven million, seven hundred fifty-two thousand, six hundred seventy-two".