2129857583616 has 320 divisors, whose sum is σ = 7372749542400. Its totient is φ = 594377699328.

The previous prime is 2129857583591. The next prime is 2129857583617. The reversal of 2129857583616 is 6163857589212.

2129857583616 is a `hidden beast` number, since 2 + 1 + 2 + 9 + 8 + 5 + 7 + 5 + 8 + 3 + 616 = 666.

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 (2129857583617) 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, 3905095 + ... + 4416953.

It is an arithmetic number, because the mean of its divisors is an integer number (23039842320).

Almost surely, 2^{2129857583616} 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 2129857583616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3686374771200).

2129857583616 is an abundant number, since it is smaller than the sum of its proper divisors (5242891958784).

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

2129857583616 is an equidigital number, since it uses as much as digits as its factorization.

2129857583616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511936 (or 511914 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 63.

The spelling of 2129857583616 in words is "two trillion, one hundred twenty-nine billion, eight hundred fifty-seven million, five hundred eighty-three thousand, six hundred sixteen".