65728127392200 has 768 divisors, whose sum is σ = 278726968665600. Its totient is φ = 13863699763200.

The previous prime is 65728127392199. The next prime is 65728127392201. The reversal of 65728127392200 is 229372182756.

65728127392200 is a `hidden beast` number, since 6 + 5 + 7 + 2 + 81 + 273 + 92 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (65728127392199) and next prime (65728127392201).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (65728127392201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1775409690 + ... + 1775446710.

It is an arithmetic number, because the mean of its divisors is an integer number (362925740450).

Almost surely, 2^{65728127392200} is an apocalyptic number.

65728127392200 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 65728127392200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139363484332800).

65728127392200 is an abundant number, since it is smaller than the sum of its proper divisors (212998841273400).

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

65728127392200 is a wasteful number, since it uses less digits than its factorization.

65728127392200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40679 (or 40664 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 65728127392200 in words is "sixty-five trillion, seven hundred twenty-eight billion, one hundred twenty-seven million, three hundred ninety-two thousand, two hundred".