86672214720 has 672 divisors, whose sum is σ = 368806244352. Its totient is φ = 18192605184.

The previous prime is 86672214691. The next prime is 86672214721. The reversal of 86672214720 is 2741227668.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (86672214721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58443099 + ... + 58444581.

It is an arithmetic number, because the mean of its divisors is an integer number (548818816).

Almost surely, 2^86672214720 is an apocalyptic number.

86672214720 is a gapful number since it is divisible by the number (80) 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 86672214720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184403122176).

86672214720 is an abundant number, since it is smaller than the sum of its proper divisors (282134029632).

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

86672214720 is a wasteful number, since it uses less digits than its factorization.

86672214720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1749 (or 1736 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 86672214720 in words is "eighty-six billion, six hundred seventy-two million, two hundred fourteen thousand, seven hundred twenty".