65574205749072 has 240 divisors, whose sum is σ = 192027343601808. Its totient is φ = 20870380339200.

The previous prime is 65574205749071. The next prime is 65574205749137. The reversal of 65574205749072 is 27094750247556.

It is a happy number.

65574205749072 is a `hidden beast` number, since 6 + 5 + 5 + 7 + 4 + 20 + 57 + 490 + 72 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5993467800336 + 59580737948736 = 2448156^2 + 7718856^2 .

It is a super-2 number, since 2×65574205749072² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65574205749071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60269278 + ... + 61347650.

Almost surely, 2^{65574205749072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65574205749072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96013671800904).

65574205749072 is an abundant number, since it is smaller than the sum of its proper divisors (126453137852736).

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

65574205749072 is a wasteful number, since it uses less digits than its factorization.

65574205749072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078638 (or 1078629 counting only the distinct ones).

The product of its (nonzero) digits is 148176000, while the sum is 63.

The spelling of 65574205749072 in words is "sixty-five trillion, five hundred seventy-four billion, two hundred five million, seven hundred forty-nine thousand, seventy-two".