2116729929600 has 3072 divisors, whose sum is σ = 9791373312000. Its totient is φ = 438939648000.

The previous prime is 2116729929599. The next prime is 2116729929659. The reversal of 2116729929600 is 69299276112.

2116729929600 is a `hidden beast` number, since 2 + 1 + 1 + 6 + 7 + 2 + 9 + 9 + 29 + 600 = 666.

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 383 ways as a sum of consecutive naturals, for example, 16667164737 + ... + 16667164863.

It is an arithmetic number, because the mean of its divisors is an integer number (3187296000).

Almost surely, 2^{2116729929600} is an apocalyptic number.

2116729929600 is a gapful number since it is divisible by the number (20) 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 2116729929600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4895686656000).

2116729929600 is an abundant number, since it is smaller than the sum of its proper divisors (7674643382400).

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

2116729929600 is a wasteful number, since it uses less digits than its factorization.

2116729929600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 2116729929600 in words is "two trillion, one hundred sixteen billion, seven hundred twenty-nine million, nine hundred twenty-nine thousand, six hundred".