65114400960 has 448 divisors, whose sum is σ = 277971747840. Its totient is φ = 14007582720.

The previous prime is 65114400941. The next prime is 65114400971. The reversal of 65114400960 is 6900441156.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 996495 + ... + 1059825.

Almost surely, 2^65114400960 is an apocalyptic number.

65114400960 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 65114400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138985873920).

65114400960 is an abundant number, since it is smaller than the sum of its proper divisors (212857346880).

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

65114400960 is a wasteful number, since it uses less digits than its factorization.

65114400960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63381 (or 63365 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 65114400960 in words is "sixty-five billion, one hundred fourteen million, four hundred thousand, nine hundred sixty".