86153345264000 has 384 divisors, whose sum is σ = 255247391730240. Its totient is φ = 28817832960000.

The previous prime is 86153345263957. The next prime is 86153345264011. The reversal of 86153345264000 is 46254335168.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30803885 + ... + 33484115.

Almost surely, 2^{86153345264000} is an apocalyptic number.

86153345264000 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 86153345264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127623695865120).

86153345264000 is an abundant number, since it is smaller than the sum of its proper divisors (169094046466240).

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

86153345264000 is a wasteful number, since it uses less digits than its factorization.

86153345264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2680315 (or 2680286 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 47.

Adding to 86153345264000 its reverse (46254335168), we get a palindrome (86199599599168).

The spelling of 86153345264000 in words is "eighty-six trillion, one hundred fifty-three billion, three hundred forty-five million, two hundred sixty-four thousand".