64086119650080 has 1152 divisors, whose sum is σ = 258600704302080. Its totient is φ = 14794306560000.

The previous prime is 64086119650051. The next prime is 64086119650081. The reversal of 64086119650080 is 8005691168046.

64086119650080 is a `hidden beast` number, since 6 + 40 + 8 + 6 + 1 + 1 + 96 + 500 + 8 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 64086119649999 and 64086119650026.

It is not an unprimeable number, because it can be changed into a prime (64086119650081) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 908974830 + ... + 909045330.

It is an arithmetic number, because the mean of its divisors is an integer number (224479778040).

Almost surely, 2^{64086119650080} is an apocalyptic number.

64086119650080 is a gapful number since it is divisible by the number (60) 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 64086119650080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129300352151040).

64086119650080 is an abundant number, since it is smaller than the sum of its proper divisors (194514584652000).

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

64086119650080 is a wasteful number, since it uses less digits than its factorization.

64086119650080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70631 (or 70606 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 64086119650080 in words is "sixty-four trillion, eighty-six billion, one hundred nineteen million, six hundred fifty thousand, eighty".