29130178560 has 720 divisors, whose sum is σ = 112959645120. Its totient is φ = 6385827840.

The previous prime is 29130178537. The next prime is 29130178577. The reversal of 29130178560 is 6587103192.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 493731811 + ... + 493731869.

It is an arithmetic number, because the mean of its divisors is an integer number (156888396).

Almost surely, 2^29130178560 is an apocalyptic number.

29130178560 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 29130178560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56479822560).

29130178560 is an abundant number, since it is smaller than the sum of its proper divisors (83829466560).

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

29130178560 is an equidigital number, since it uses as much as digits as its factorization.

29130178560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

It can be divided in two parts, 29130 and 178560, that added together give a triangular number (207690 = T₆₄₄).

The spelling of 29130178560 in words is "twenty-nine billion, one hundred thirty million, one hundred seventy-eight thousand, five hundred sixty".