29180135004160 has 768 divisors, whose sum is σ = 85654369382400. Its totient is φ = 9325510656000.

The previous prime is 29180135004113. The next prime is 29180135004179. The reversal of 29180135004160 is 6140053108192.

It is a super-2 number, since 2×29180135004160² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10417754760 + ... + 10417757560.

It is an arithmetic number, because the mean of its divisors is an integer number (111529126800).

Almost surely, 2^{29180135004160} is an apocalyptic number.

29180135004160 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 29180135004160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42827184691200).

29180135004160 is an abundant number, since it is smaller than the sum of its proper divisors (56474234378240).

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

29180135004160 is a wasteful number, since it uses less digits than its factorization.

29180135004160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3018 (or 2998 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The spelling of 29180135004160 in words is "twenty-nine trillion, one hundred eighty billion, one hundred thirty-five million, four thousand, one hundred sixty".