65025773568000 has 4096 divisors, whose sum is σ = 299382166886400. Its totient is φ = 13759414272000.

The previous prime is 65025773567917. The next prime is 65025773568073. The reversal of 65025773568000 is 86537752056.

65025773568000 is a `hidden beast` number, since 6 + 5 + 0 + 2 + 5 + 7 + 73 + 568 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4096).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1065996287970 + ... + 1065996288030.

Almost surely, 2^{65025773568000} is an apocalyptic number.

65025773568000 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 65025773568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149691083443200).

65025773568000 is an abundant number, since it is smaller than the sum of its proper divisors (234356393318400).

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

65025773568000 is an frugal number, since it uses more digits than its factorization.

65025773568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 65025773568000 in words is "sixty-five trillion, twenty-five billion, seven hundred seventy-three million, five hundred sixty-eight thousand".