65231133217920 has 576 divisors, whose sum is σ = 234068310964800. Its totient is φ = 17382668470272.

The previous prime is 65231133217909. The next prime is 65231133217927. The reversal of 65231133217920 is 2971233113256.

65231133217920 is a `hidden beast` number, since 6 + 5 + 2 + 311 + 3 + 321 + 7 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (65231133217927) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6999795021 + ... + 6999804339.

It is an arithmetic number, because the mean of its divisors is an integer number (406368595425).

Almost surely, 2^{65231133217920} is an apocalyptic number.

65231133217920 is a gapful number since it is divisible by the number (60) 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 65231133217920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117034155482400).

65231133217920 is an abundant number, since it is smaller than the sum of its proper divisors (168837177746880).

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

65231133217920 is an frugal number, since it uses more digits than its factorization.

65231133217920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11029 (or 10996 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 65231133217920 in words is "sixty-five trillion, two hundred thirty-one billion, one hundred thirty-three million, two hundred seventeen thousand, nine hundred twenty".