29742800997888 has 1120 divisors, whose sum is σ = 99466783004160. Its totient is φ = 8805427937280.

The previous prime is 29742800997821. The next prime is 29742800997901. The reversal of 29742800997888 is 88879900824792.

29742800997888 is a `hidden beast` number, since 29 + 7 + 428 + 0 + 0 + 9 + 97 + 8 + 88 = 666.

It is a super-2 number, since 2×29742800997888² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 34705718356 + ... + 34705719212.

Almost surely, 2^{29742800997888} 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 29742800997888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49733391502080).

29742800997888 is an abundant number, since it is smaller than the sum of its proper divisors (69723982006272).

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

29742800997888 is an equidigital number, since it uses as much as digits as its factorization.

29742800997888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 2341011456, while the sum is 81.

The spelling of 29742800997888 in words is "twenty-nine trillion, seven hundred forty-two billion, eight hundred million, nine hundred ninety-seven thousand, eight hundred eighty-eight".