29766600900 has 297 divisors, whose sum is σ = 98273603533. Its totient is φ = 7825960800.

The previous prime is 29766600889. The next prime is 29766600901. The reversal of 29766600900 is 900666792.

The square root of 29766600900 is 172530.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 10715976324 + 19050624576 = 103518^2 + 138024^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29766600901) by changing a digit.

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 98 ways as a sum of consecutive naturals, for example, 419247865 + ... + 419247935.

Almost surely, 2^29766600900 is an apocalyptic number.

29766600900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

29766600900 is the 172530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29766600900

29766600900 is an abundant number, since it is smaller than the sum of its proper divisors (68507002633).

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

29766600900 is an frugal number, since it uses more digits than its factorization.

29766600900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 29766600900 in words is "twenty-nine billion, seven hundred sixty-six million, six hundred thousand, nine hundred".