65725099440 has 1920 divisors, whose sum is σ = 312909972480. Its totient is φ = 11240570880.

The previous prime is 65725099439. The next prime is 65725099511. The reversal of 65725099440 is 4499052756.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3459215751 + ... + 3459215769.

It is an arithmetic number, because the mean of its divisors is an integer number (162973944).

Almost surely, 2^65725099440 is an apocalyptic number.

65725099440 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 65725099440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156454986240).

65725099440 is an abundant number, since it is smaller than the sum of its proper divisors (247184873040).

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

65725099440 is a wasteful number, since it uses less digits than its factorization.

65725099440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 51.

The spelling of 65725099440 in words is "sixty-five billion, seven hundred twenty-five million, ninety-nine thousand, four hundred forty".