29907072000000 has 1176 divisors, whose sum is σ = 116354928372228. Its totient is φ = 7358054400000.

The previous prime is 29907071999999. The next prime is 29907072000097. The reversal of 29907072000000 is 27070992.

It can be written as a sum of positive squares in 14 ways, for example, as 29247156228096 + 659915771904 = 5408064^2 + 812352^2 .

It is a super-2 number, since 2×29907072000000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 14975999002 + ... + 14976000998.

Almost surely, 2^{29907072000000} is an apocalyptic number.

29907072000000 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 29907072000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58177464186114).

29907072000000 is an abundant number, since it is smaller than the sum of its proper divisors (86447856372228).

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

29907072000000 is an frugal number, since it uses more digits than its factorization.

29907072000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2072 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

Adding to 29907072000000 its reverse (27070992), we get a palindrome (29907099070992).

The spelling of 29907072000000 in words is "twenty-nine trillion, nine hundred seven billion, seventy-two million", and thus it is an aban number.