65442057570000 has 400 divisors, whose sum is σ = 234795132506880. Its totient is φ = 17446264704000.

The previous prime is 65442057569981. The next prime is 65442057570007. The reversal of 65442057570000 is 7575024456.

65442057570000 is a `hidden beast` number, since 6 + 5 + 4 + 4 + 2 + 0 + 575 + 70 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65442057570007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1006257484 + ... + 1006322516.

Almost surely, 2^{65442057570000} is an apocalyptic number.

65442057570000 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 65442057570000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117397566253440).

65442057570000 is an abundant number, since it is smaller than the sum of its proper divisors (169353074936880).

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

65442057570000 is a wasteful number, since it uses less digits than its factorization.

65442057570000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68797 (or 68770 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 45.

The spelling of 65442057570000 in words is "sixty-five trillion, four hundred forty-two billion, fifty-seven million, five hundred seventy thousand".