86983462388160 has 448 divisors, whose sum is σ = 331215762662400. Its totient is φ = 21362528784384.

The previous prime is 86983462388093. The next prime is 86983462388209. The reversal of 86983462388160 is 6188326438968.

86983462388160 is a `hidden beast` number, since 8 + 6 + 9 + 83 + 4 + 6 + 2 + 388 + 160 = 666.

It is a super-2 number, since 2×86983462388160² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48426447 + ... + 50190513.

It is an arithmetic number, because the mean of its divisors is an integer number (739320898800).

Almost surely, 2^{86983462388160} is an apocalyptic number.

86983462388160 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 86983462388160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165607881331200).

86983462388160 is an abundant number, since it is smaller than the sum of its proper divisors (244232300274240).

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

86983462388160 is a wasteful number, since it uses less digits than its factorization.

86983462388160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1764545 (or 1764529 counting only the distinct ones).

The product of its (nonzero) digits is 573308928, while the sum is 72.

The spelling of 86983462388160 in words is "eighty-six trillion, nine hundred eighty-three billion, four hundred sixty-two million, three hundred eighty-eight thousand, one hundred sixty".