29985348492 has 288 divisors, whose sum is σ = 88650132480. Its totient is φ = 8456448000.

The previous prime is 29985348461. The next prime is 29985348521. The reversal of 29985348492 is 29484358992.

29985348492 is a `hidden beast` number, since 2 + 9 + 9 + 8 + 534 + 8 + 4 + 92 = 666.

It is a super-2 number, since 2×29985348492² (a number of 22 digits) contains 22 as substring.

Its product of digits (44789760) is a multiple of the sum of its prime divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57553192 + ... + 57553712.

It is an arithmetic number, because the mean of its divisors is an integer number (307812960).

Almost surely, 2^29985348492 is an apocalyptic number.

29985348492 is a gapful number since it is divisible by the number (22) 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 29985348492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44325066240).

29985348492 is an abundant number, since it is smaller than the sum of its proper divisors (58664783988).

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

29985348492 is a wasteful number, since it uses less digits than its factorization.

29985348492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 720 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 63.

The spelling of 29985348492 in words is "twenty-nine billion, nine hundred eighty-five million, three hundred forty-eight thousand, four hundred ninety-two".