29581155456 has 128 divisors (see below), whose sum is σ = 85446264960. Its totient is φ = 9029468160.

The previous prime is 29581155449. The next prime is 29581155467. The reversal of 29581155456 is 65455118592.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×29581155456² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 29581155399 and 29581155408.

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, 180301 + ... + 302771.

It is an arithmetic number, because the mean of its divisors is an integer number (667548945).

Almost surely, 2^29581155456 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 29581155456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42723132480).

29581155456 is an abundant number, since it is smaller than the sum of its proper divisors (55865109504).

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

29581155456 is a wasteful number, since it uses less digits than its factorization.

29581155456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122542 (or 122530 counting only the distinct ones).

The product of its digits is 2160000, while the sum is 51.

The spelling of 29581155456 in words is "twenty-nine billion, five hundred eighty-one million, one hundred fifty-five thousand, four hundred fifty-six".