29129143680 has 1152 divisors, whose sum is σ = 133707581280. Its totient is φ = 5772017664.

The previous prime is 29129143657. The next prime is 29129143691. The reversal of 29129143680 is 8634192192.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 62374807 + ... + 62375273.

Almost surely, 2^29129143680 is an apocalyptic number.

29129143680 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 29129143680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66853790640).

29129143680 is an abundant number, since it is smaller than the sum of its proper divisors (104578437600).

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

29129143680 is a wasteful number, since it uses less digits than its factorization.

29129143680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

It can be divided in two parts, 291291 and 43680, that added together give a triangular number (334971 = T₈₁₈).

The spelling of 29129143680 in words is "twenty-nine billion, one hundred twenty-nine million, one hundred forty-three thousand, six hundred eighty".