65257427828736 has 864 divisors, whose sum is σ = 228641711800320. Its totient is φ = 17663577292800.

The previous prime is 65257427828731. The next prime is 65257427828743. The reversal of 65257427828736 is 63782872475256.

65257427828736 is a `hidden beast` number, since 6 + 5 + 2 + 5 + 74 + 278 + 287 + 3 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65257427828731) 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, 5229373345 + ... + 5229385823.

It is an arithmetic number, because the mean of its divisors is an integer number (264631610880).

Almost surely, 2^{65257427828736} is an apocalyptic number.

65257427828736 is a gapful number since it is divisible by the number (66) 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 65257427828736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114320855900160).

65257427828736 is an abundant number, since it is smaller than the sum of its proper divisors (163384283971584).

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

65257427828736 is a wasteful number, since it uses less digits than its factorization.

65257427828736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12574 (or 12539 counting only the distinct ones).

The product of its digits is 1896652800, while the sum is 72.

The spelling of 65257427828736 in words is "sixty-five trillion, two hundred fifty-seven billion, four hundred twenty-seven million, eight hundred twenty-eight thousand, seven hundred thirty-six".