86621902432800 has 1152 divisors, whose sum is σ = 336490938201600. Its totient is φ = 19340078284800.

The previous prime is 86621902432787. The next prime is 86621902432801. The reversal of 86621902432800 is 823420912668.

It is a happy number.

86621902432800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (86621902432801) 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, 10165692540 + ... + 10165701060.

It is an arithmetic number, because the mean of its divisors is an integer number (292092828300).

Almost surely, 2^{86621902432800} is an apocalyptic number.

86621902432800 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 86621902432800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168245469100800).

86621902432800 is an abundant number, since it is smaller than the sum of its proper divisors (249869035768800).

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

86621902432800 is a wasteful number, since it uses less digits than its factorization.

86621902432800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8851 (or 8824 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The spelling of 86621902432800 in words is "eighty-six trillion, six hundred twenty-one billion, nine hundred two million, four hundred thirty-two thousand, eight hundred".