86146373880 has 320 divisors, whose sum is σ = 331321890240. Its totient is φ = 19666188288.

The previous prime is 86146373861. The next prime is 86146373921. The reversal of 86146373880 is 8837364168.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23426602 + ... + 23430278.

It is an arithmetic number, because the mean of its divisors is an integer number (1035380907).

Almost surely, 2^86146373880 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 86146373880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165660945120).

86146373880 is an abundant number, since it is smaller than the sum of its proper divisors (245175516360).

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

86146373880 is a wasteful number, since it uses less digits than its factorization.

86146373880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4740 (or 4727 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 86146373880 in words is "eighty-six billion, one hundred forty-six million, three hundred seventy-three thousand, eight hundred eighty".