1659523245072 has 960 divisors, whose sum is σ = 6151209154560. Its totient is φ = 378788659200.

The previous prime is 1659523245059. The next prime is 1659523245109. The reversal of 1659523245072 is 2705423259561.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 593321178 + ... + 593323974.

It is an arithmetic number, because the mean of its divisors is an integer number (6407509536).

Almost surely, 2^{1659523245072} is an apocalyptic number.

1659523245072 is a gapful number since it is divisible by the number (12) 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 1659523245072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3075604577280).

1659523245072 is an abundant number, since it is smaller than the sum of its proper divisors (4491685909488).

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

1659523245072 is a wasteful number, since it uses less digits than its factorization.

1659523245072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2940 (or 2927 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 51.

The spelling of 1659523245072 in words is "one trillion, six hundred fifty-nine billion, five hundred twenty-three million, two hundred forty-five thousand, seventy-two".