29153157120 has 672 divisors, whose sum is σ = 109488244320. Its totient is φ = 7431782400.

The previous prime is 29153157119. The next prime is 29153157151. The reversal of 29153157120 is 2175135192.

29153157120 is a `hidden beast` number, since 29 + 15 + 31 + 571 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 288645070 + ... + 288645170.

It is an arithmetic number, because the mean of its divisors is an integer number (162928935).

Almost surely, 2^29153157120 is an apocalyptic number.

29153157120 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 29153157120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54744122160).

29153157120 is an abundant number, since it is smaller than the sum of its proper divisors (80335087200).

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

29153157120 is an equidigital number, since it uses as much as digits as its factorization.

29153157120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The spelling of 29153157120 in words is "twenty-nine billion, one hundred fifty-three million, one hundred fifty-seven thousand, one hundred twenty".