29797553128 has 64 divisors (see below), whose sum is σ = 66093552000. Its totient is φ = 12322582272.

The previous prime is 29797553087. The next prime is 29797553129. The reversal of 29797553128 is 82135579792.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is not an unprimeable number, because it can be changed into a prime (29797553129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3290575 + ... + 3299617.

It is an arithmetic number, because the mean of its divisors is an integer number (1032711750).

Almost surely, 2^29797553128 is an apocalyptic number.

29797553128 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 29797553128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33046776000).

29797553128 is an abundant number, since it is smaller than the sum of its proper divisors (36295998872).

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

29797553128 is a wasteful number, since it uses less digits than its factorization.

29797553128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11114 (or 11110 counting only the distinct ones).

The product of its digits is 9525600, while the sum is 58.

The spelling of 29797553128 in words is "twenty-nine billion, seven hundred ninety-seven million, five hundred fifty-three thousand, one hundred twenty-eight".