86737224816 has 160 divisors (see below), whose sum is σ = 274955735040. Its totient is φ = 26283890880.

The previous prime is 86737224811. The next prime is 86737224817. The reversal of 86737224816 is 61842273768.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86737224811) 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, 272241 + ... + 497583.

It is an arithmetic number, because the mean of its divisors is an integer number (1718473344).

Almost surely, 2^86737224816 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 86737224816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137477867520).

86737224816 is an abundant number, since it is smaller than the sum of its proper divisors (188218510224).

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

86737224816 is a wasteful number, since it uses less digits than its factorization.

86737224816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225383 (or 225359 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The spelling of 86737224816 in words is "eighty-six billion, seven hundred thirty-seven million, two hundred twenty-four thousand, eight hundred sixteen".