65873568296400 has 480 divisors, whose sum is σ = 222594273054720. Its totient is φ = 16619522979840.

The previous prime is 65873568296387. The next prime is 65873568296401. The reversal of 65873568296400 is 469286537856.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65873568296401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1928422521 + ... + 1928456679.

It is an arithmetic number, because the mean of its divisors is an integer number (463738068864).

Almost surely, 2^{65873568296400} is an apocalyptic number.

65873568296400 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 65873568296400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111297136527360).

65873568296400 is an abundant number, since it is smaller than the sum of its proper divisors (156720704758320).

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

65873568296400 is a wasteful number, since it uses less digits than its factorization.

65873568296400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34963 (or 34952 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 69.

The spelling of 65873568296400 in words is "sixty-five trillion, eight hundred seventy-three billion, five hundred sixty-eight million, two hundred ninety-six thousand, four hundred".