29289112740 has 144 divisors (see below), whose sum is σ = 89669099520. Its totient is φ = 7738210560.

The previous prime is 29289112739. The next prime is 29289112763. The reversal of 29289112740 is 4721198292.

29289112740 is a `hidden beast` number, since 292 + 8 + 91 + 1 + 274 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9246637 + ... + 9249803.

It is an arithmetic number, because the mean of its divisors is an integer number (622702080).

Almost surely, 2^29289112740 is an apocalyptic number.

29289112740 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 29289112740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44834549760).

29289112740 is an abundant number, since it is smaller than the sum of its proper divisors (60379986780).

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

29289112740 is a wasteful number, since it uses less digits than its factorization.

29289112740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3642 (or 3637 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 29289112740 in words is "twenty-nine billion, two hundred eighty-nine million, one hundred twelve thousand, seven hundred forty".