29985010997760 has 1600 divisors, whose sum is σ = 134048409352704. Its totient is φ = 6237123379200.

The previous prime is 29985010997737. The next prime is 29985010997761. The reversal of 29985010997760 is 6779901058992.

29985010997760 is a `hidden beast` number, since 29 + 9 + 8 + 501 + 0 + 9 + 97 + 7 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (29985010997761) 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 159 ways as a sum of consecutive naturals, for example, 1339741770 + ... + 1339764150.

Almost surely, 2^{29985010997760} is an apocalyptic number.

29985010997760 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 29985010997760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67024204676352).

29985010997760 is an abundant number, since it is smaller than the sum of its proper divisors (104063398354944).

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

29985010997760 is a wasteful number, since it uses less digits than its factorization.

29985010997760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22507 (or 22482 counting only the distinct ones).

The product of its (nonzero) digits is 154314720, while the sum is 72.

The spelling of 29985010997760 in words is "twenty-nine trillion, nine hundred eighty-five billion, ten million, nine hundred ninety-seven thousand, seven hundred sixty".