86038266121920 has 1680 divisors, whose sum is σ = 378563502683520. Its totient is φ = 18430523080704.

The previous prime is 86038266121919. The next prime is 86038266121921. The reversal of 86038266121920 is 2912166283068.

86038266121920 is a `hidden beast` number, since 8 + 6 + 0 + 3 + 8 + 2 + 6 + 612 + 19 + 2 + 0 = 666.

86038266121920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (86038266121919) and next prime (86038266121921).

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is not an unprimeable number, because it can be changed into a prime (86038266121921) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5160326704 + ... + 5160343376.

It is an arithmetic number, because the mean of its divisors is an integer number (225335418264).

Almost surely, 2^{86038266121920} is an apocalyptic number.

86038266121920 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 86038266121920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189281751341760).

86038266121920 is an abundant number, since it is smaller than the sum of its proper divisors (292525236561600).

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

86038266121920 is a wasteful number, since it uses less digits than its factorization.

86038266121920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16972 (or 16946 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 86038266121920 in words is "eighty-six trillion, thirty-eight billion, two hundred sixty-six million, one hundred twenty-one thousand, nine hundred twenty".