1029157606200 has 384 divisors, whose sum is σ = 3421025683200. Its totient is φ = 255177216000.

The previous prime is 1029157606199. The next prime is 1029157606207. The reversal of 1029157606200 is 26067519201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1029157606207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 175591270 + ... + 175597130.

It is an arithmetic number, because the mean of its divisors is an integer number (8908921050).

Almost surely, 2^{1029157606200} is an apocalyptic number.

1029157606200 is a gapful number since it is divisible by the number (10) 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 1029157606200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1710512841600).

1029157606200 is an abundant number, since it is smaller than the sum of its proper divisors (2391868077000).

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

1029157606200 is a wasteful number, since it uses less digits than its factorization.

1029157606200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6183 (or 6174 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The spelling of 1029157606200 in words is "one trillion, twenty-nine billion, one hundred fifty-seven million, six hundred six thousand, two hundred".