2066097825792 has 1536 divisors, whose sum is σ = 8303952384000. Its totient is φ = 490179133440.

The previous prime is 2066097825763. The next prime is 2066097825793. The reversal of 2066097825792 is 2975287906602.

2066097825792 is a `hidden beast` number, since 206 + 6 + 0 + 97 + 8 + 257 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2066097825793) 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, 9022261134 + ... + 9022261362.

It is an arithmetic number, because the mean of its divisors is an integer number (5406219000).

Almost surely, 2^{2066097825792} is an apocalyptic number.

2066097825792 is a gapful number since it is divisible by the number (22) 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 2066097825792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4151976192000).

2066097825792 is an abundant number, since it is smaller than the sum of its proper divisors (6237854558208).

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

2066097825792 is a wasteful number, since it uses less digits than its factorization.

2066097825792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 2066097825792 in words is "two trillion, sixty-six billion, ninety-seven million, eight hundred twenty-five thousand, seven hundred ninety-two".