86454986342400 has 2208 divisors, whose sum is σ = 358240495099200. Its totient is φ = 20547391979520.

The previous prime is 86454986342357. The next prime is 86454986342443. The reversal of 86454986342400 is 424368945468.

It is a happy number.

86454986342400 is a `hidden beast` number, since 8 + 6 + 4 + 5 + 498 + 63 + 42 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (86454986342357) and next prime (86454986342443).

It is a congruent number.

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, 2981206425586 + ... + 2981206425614.

Almost surely, 2^{86454986342400} is an apocalyptic number.

86454986342400 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 86454986342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179120247549600).

86454986342400 is an abundant number, since it is smaller than the sum of its proper divisors (271785508756800).

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

86454986342400 is an frugal number, since it uses more digits than its factorization.

86454986342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 159252480, while the sum is 63.

The spelling of 86454986342400 in words is "eighty-six trillion, four hundred fifty-four billion, nine hundred eighty-six million, three hundred forty-two thousand, four hundred".