86122944000 has 240 divisors, whose sum is σ = 310200770880. Its totient is φ = 22965964800.

The previous prime is 86122943999. The next prime is 86122944007. The reversal of 86122944000 is 44922168.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×86122944000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86122944007) 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, 501241 + ... + 650759.

It is an arithmetic number, because the mean of its divisors is an integer number (1292503212).

Almost surely, 2^86122944000 is an apocalyptic number.

86122944000 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 86122944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155100385440).

86122944000 is an abundant number, since it is smaller than the sum of its proper divisors (224077826880).

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

86122944000 is a wasteful number, since it uses less digits than its factorization.

86122944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149558 (or 149529 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 86122944000 in words is "eighty-six billion, one hundred twenty-two million, nine hundred forty-four thousand".