2129590065568 has 192 divisors, whose sum is σ = 5339178270720. Its totient is φ = 815704243200.

The previous prime is 2129590065563. The next prime is 2129590065613. The reversal of 2129590065568 is 8655600959212.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is not an unprimeable number, because it can be changed into a prime (2129590065563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4401753 + ... + 4861543.

It is an arithmetic number, because the mean of its divisors is an integer number (27808220160).

Almost surely, 2^{2129590065568} is an apocalyptic number.

2129590065568 is a gapful number since it is divisible by the number (28) 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 2129590065568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2669589135360).

2129590065568 is an abundant number, since it is smaller than the sum of its proper divisors (3209588205152).

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

2129590065568 is a wasteful number, since it uses less digits than its factorization.

2129590065568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459891 (or 459883 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 58.

The spelling of 2129590065568 in words is "two trillion, one hundred twenty-nine billion, five hundred ninety million, sixty-five thousand, five hundred sixty-eight".