65133410521920 has 448 divisors, whose sum is σ = 225268393109760. Its totient is φ = 15848478277632.

The previous prime is 65133410521889. The next prime is 65133410521937. The reversal of 65133410521920 is 2912501433156.

It is a super-2 number, since 2×65133410521920² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7016413599 + ... + 7016422881.

It is an arithmetic number, because the mean of its divisors is an integer number (502831234620).

Almost surely, 2^{65133410521920} is an apocalyptic number.

65133410521920 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 65133410521920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112634196554880).

65133410521920 is an abundant number, since it is smaller than the sum of its proper divisors (160134982587840).

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

65133410521920 is a wasteful number, since it uses less digits than its factorization.

65133410521920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15722 (or 15712 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The spelling of 65133410521920 in words is "sixty-five trillion, one hundred thirty-three billion, four hundred ten million, five hundred twenty-one thousand, nine hundred twenty".