86232263040000 has 5280 divisors, whose sum is σ = 424575652300800. Its totient is φ = 16930529280000.

The previous prime is 86232263039987. The next prime is 86232263040041. The reversal of 86232263040000 is 4036223268.

86232263040000 is a `hidden beast` number, since 8 + 6 + 23 + 226 + 3 + 0 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5280).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 227525759811 + ... + 227525760189.

It is an arithmetic number, because the mean of its divisors is an integer number (80412055360).

Almost surely, 2^{86232263040000} is an apocalyptic number.

86232263040000 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 86232263040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212287826150400).

86232263040000 is an abundant number, since it is smaller than the sum of its proper divisors (338343389260800).

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

86232263040000 is a wasteful number, since it uses less digits than its factorization.

86232263040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 86232263040000 its reverse (4036223268), we get a palindrome (86236299263268).

The spelling of 86232263040000 in words is "eighty-six trillion, two hundred thirty-two billion, two hundred sixty-three million, forty thousand".