86200162944 has 128 divisors (see below), whose sum is σ = 262723668480. Its totient is φ = 24530304000.

The previous prime is 86200162891. The next prime is 86200162969. The reversal of 86200162944 is 44926100268.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 86200162896 and 86200162905.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 610807 + ... + 738569.

It is an arithmetic number, because the mean of its divisors is an integer number (2052528660).

Almost surely, 2^86200162944 is an apocalyptic number.

86200162944 is a gapful number since it is divisible by the number (84) 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 86200162944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131361834240).

86200162944 is an abundant number, since it is smaller than the sum of its proper divisors (176523505536).

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

86200162944 is a wasteful number, since it uses less digits than its factorization.

86200162944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128038 (or 128026 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 86200162944 in words is "eighty-six billion, two hundred million, one hundred sixty-two thousand, nine hundred forty-four".