65287952252928 has 1200 divisors, whose sum is σ = 218689872952320. Its totient is φ = 19289169985536.

The previous prime is 65287952252881. The next prime is 65287952252977. The reversal of 65287952252928 is 82925225978256.

65287952252928 is a `hidden beast` number, since 6 + 5 + 2 + 8 + 7 + 9 + 522 + 5 + 2 + 92 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 95589973675 + ... + 95589974357.

Almost surely, 2^{65287952252928} is an apocalyptic number.

65287952252928 is a gapful number since it is divisible by the number (68) 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 65287952252928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109344936476160).

65287952252928 is an abundant number, since it is smaller than the sum of its proper divisors (153401920699392).

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

65287952252928 is a wasteful number, since it uses less digits than its factorization.

65287952252928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 947 counting only the distinct ones).

The product of its digits is 870912000, while the sum is 72.

The spelling of 65287952252928 in words is "sixty-five trillion, two hundred eighty-seven billion, nine hundred fifty-two million, two hundred fifty-two thousand, nine hundred twenty-eight".