86955088733184 has 1056 divisors, whose sum is σ = 291364302113280. Its totient is φ = 22912779681792.

The previous prime is 86955088733137. The next prime is 86955088733209. The reversal of 86955088733184 is 48133788055968.

It is a super-2 number, since 2×86955088733184² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43412424727 + ... + 43412426729.

It is an arithmetic number, because the mean of its divisors is an integer number (275913164880).

Almost surely, 2^{86955088733184} is an apocalyptic number.

86955088733184 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 86955088733184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145682151056640).

86955088733184 is an abundant number, since it is smaller than the sum of its proper divisors (204409213380096).

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

86955088733184 is a wasteful number, since it uses less digits than its factorization.

86955088733184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2455 (or 2430 counting only the distinct ones).

The product of its (nonzero) digits is 1393459200, while the sum is 75.

The spelling of 86955088733184 in words is "eighty-six trillion, nine hundred fifty-five billion, eighty-eight million, seven hundred thirty-three thousand, one hundred eighty-four".