86254228468800 has 2016 divisors, whose sum is σ = 387347705303040. Its totient is φ = 18279124070400.

The previous prime is 86254228468717. The next prime is 86254228468829. The reversal of 86254228468800 is 886482245268.

It is a happy number.

86254228468800 is a `hidden beast` number, since 8 + 6 + 2 + 542 + 2 + 8 + 4 + 6 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5130812395 + ... + 5130829205.

Almost surely, 2^{86254228468800} is an apocalyptic number.

86254228468800 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 86254228468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193673852651520).

86254228468800 is an abundant number, since it is smaller than the sum of its proper divisors (301093476834240).

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

86254228468800 is a wasteful number, since it uses less digits than its factorization.

86254228468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16934 (or 16894 counting only the distinct ones).

The product of its (nonzero) digits is 94371840, while the sum is 63.

The spelling of 86254228468800 in words is "eighty-six trillion, two hundred fifty-four billion, two hundred twenty-eight million, four hundred sixty-eight thousand, eight hundred".