60965288384000 has 1280 divisors, whose sum is σ = 204746879361024. Its totient is φ = 17485922304000.

The previous prime is 60965288383999. The next prime is 60965288384003. The reversal of 60965288384000 is 48388256906.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60965288384003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23511486704 + ... + 23511489296.

Almost surely, 2^{60965288384000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60965288384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102373439680512).

60965288384000 is an abundant number, since it is smaller than the sum of its proper divisors (143781590977024).

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

60965288384000 is a wasteful number, since it uses less digits than its factorization.

60965288384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3024 (or 2998 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 59.

The spelling of 60965288384000 in words is "sixty trillion, nine hundred sixty-five billion, two hundred eighty-eight million, three hundred eighty-four thousand".