29788099992 has 288 divisors, whose sum is σ = 99750100320. Its totient is φ = 7979489280.

The previous prime is 29788099883. The next prime is 29788100029. The reversal of 29788099992 is 29999088792.

It is a super-2 number, since 2×29788099992² (a number of 22 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 29788099992.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18651738 + ... + 18653334.

It is an arithmetic number, because the mean of its divisors is an integer number (346354515).

Almost surely, 2^29788099992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29788099992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49875050160).

29788099992 is an abundant number, since it is smaller than the sum of its proper divisors (69962000328).

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

29788099992 is a wasteful number, since it uses less digits than its factorization.

29788099992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1951 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 105815808, while the sum is 72.

The spelling of 29788099992 in words is "twenty-nine billion, seven hundred eighty-eight million, ninety-nine thousand, nine hundred ninety-two".