86026406400 has 1200 divisors, whose sum is σ = 366536316960. Its totient is φ = 19707494400.

The previous prime is 86026406383. The next prime is 86026406413. The reversal of 86026406400 is 460462068.

It is a happy number.

86026406400 is a `hidden beast` number, since 8 + 6 + 0 + 2 + 6 + 4 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 216691002 + ... + 216691398.

Almost surely, 2^86026406400 is an apocalyptic number.

86026406400 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 86026406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183268158480).

86026406400 is an abundant number, since it is smaller than the sum of its proper divisors (280509910560).

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

86026406400 is a wasteful number, since it uses less digits than its factorization.

86026406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 86026406400 its reverse (460462068), we get a palindrome (86486868468).

The spelling of 86026406400 in words is "eighty-six billion, twenty-six million, four hundred six thousand, four hundred".