86541937920 has 288 divisors, whose sum is σ = 307507536000. Its totient is φ = 23047520256.

The previous prime is 86541937877. The next prime is 86541937931. The reversal of 86541937920 is 2973914568.

86541937920 is a `hidden beast` number, since 8 + 6 + 541 + 9 + 3 + 7 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41229031 + ... + 41231129.

It is an arithmetic number, because the mean of its divisors is an integer number (1067734500).

It is a 1-persistent number, because it is pandigital, but 2⋅86541937920 = 173083875840 is not.

Almost surely, 2^86541937920 is an apocalyptic number.

86541937920 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 86541937920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153753768000).

86541937920 is an abundant number, since it is smaller than the sum of its proper divisors (220965598080).

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

86541937920 is a wasteful number, since it uses less digits than its factorization.

86541937920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3322 (or 3302 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 86541937920 in words is "eighty-six billion, five hundred forty-one million, nine hundred thirty-seven thousand, nine hundred twenty".