1200164829696 has 1280 divisors, whose sum is σ = 4519767859200. Its totient is φ = 306561024000.

The previous prime is 1200164829691. The next prime is 1200164829733. The reversal of 1200164829696 is 6969284610021.

1200164829696 is a `hidden beast` number, since 1 + 200 + 1 + 64 + 8 + 296 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1200164829691) 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, 4271049076 + ... + 4271049356.

It is an arithmetic number, because the mean of its divisors is an integer number (3531068640).

Almost surely, 2^{1200164829696} is an apocalyptic number.

1200164829696 is a gapful number since it is divisible by the number (16) 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 1200164829696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2259883929600).

1200164829696 is an abundant number, since it is smaller than the sum of its proper divisors (3319603029504).

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

1200164829696 is a wasteful number, since it uses less digits than its factorization.

1200164829696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 1200164829696 in words is "one trillion, two hundred billion, one hundred sixty-four million, eight hundred twenty-nine thousand, six hundred ninety-six".