65006513564160 has 640 divisors, whose sum is σ = 238293475098624. Its totient is φ = 14809457295360.

The previous prime is 65006513564123. The next prime is 65006513564273. The reversal of 65006513564160 is 6146531560056.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27279274329 + ... + 27279276711.

Almost surely, 2^{65006513564160} is an apocalyptic number.

65006513564160 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 65006513564160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119146737549312).

65006513564160 is an abundant number, since it is smaller than the sum of its proper divisors (173286961534464).

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

65006513564160 is a wasteful number, since it uses less digits than its factorization.

65006513564160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3884 (or 3868 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 48.

The spelling of 65006513564160 in words is "sixty-five trillion, six billion, five hundred thirteen million, five hundred sixty-four thousand, one hundred sixty".