29742052088 has 64 divisors (see below), whose sum is σ = 64750233600. Its totient is φ = 12544197120.

The previous prime is 29742052057. The next prime is 29742052099. The reversal of 29742052088 is 88025024792.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1365056 + ... + 1386672.

It is an arithmetic number, because the mean of its divisors is an integer number (1011722400).

Almost surely, 2^29742052088 is an apocalyptic number.

29742052088 is a gapful number since it is divisible by the number (28) 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 29742052088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32375116800).

29742052088 is an abundant number, since it is smaller than the sum of its proper divisors (35008181512).

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

29742052088 is a wasteful number, since it uses less digits than its factorization.

29742052088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22020 (or 22016 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 47.

The spelling of 29742052088 in words is "twenty-nine billion, seven hundred forty-two million, fifty-two thousand, eighty-eight".