1829272920100 has 36 divisors (see below), whose sum is σ = 4061836716784. Its totient is φ = 714692674080.

The previous prime is 1829272920067. The next prime is 1829272920113. The reversal of 1829272920100 is 10292729281.

It is a happy number.

It is a super-2 number, since 2×1829272920100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 212701854 + ... + 212710453.

Almost surely, 2^{1829272920100} is an apocalyptic number.

1829272920100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1829272920100 is an abundant number, since it is smaller than the sum of its proper divisors (2232563796684).

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

1829272920100 is a wasteful number, since it uses less digits than its factorization.

1829272920100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425412364 (or 425412357 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 43.

The spelling of 1829272920100 in words is "one trillion, eight hundred twenty-nine billion, two hundred seventy-two million, nine hundred twenty thousand, one hundred".