65528339949072 has 1920 divisors, whose sum is σ = 260176371646464. Its totient is φ = 14847805440000.

The previous prime is 65528339949001. The next prime is 65528339949109. The reversal of 65528339949072 is 27094993382556.

65528339949072 is a `hidden beast` number, since 6 + 5 + 5 + 2 + 83 + 399 + 4 + 90 + 72 = 666.

It is a super-2 number, since 2×65528339949072² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 64180547922 + ... + 64180548942.

Almost surely, 2^{65528339949072} is an apocalyptic number.

65528339949072 is a gapful number since it is divisible by the number (62) 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 65528339949072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130088185823232).

65528339949072 is an abundant number, since it is smaller than the sum of its proper divisors (194648031697392).

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

65528339949072 is a wasteful number, since it uses less digits than its factorization.

65528339949072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 881798400, while the sum is 72.

The spelling of 65528339949072 in words is "sixty-five trillion, five hundred twenty-eight billion, three hundred thirty-nine million, nine hundred forty-nine thousand, seventy-two".