29948409909180 has 288 divisors, whose sum is σ = 108592489893888. Its totient is φ = 6532171430400.

The previous prime is 29948409909169. The next prime is 29948409909233. The reversal of 29948409909180 is 8190990484992.

29948409909180 is a `hidden beast` number, since 2 + 9 + 9 + 48 + 409 + 90 + 91 + 8 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 29948409909099 and 29948409909108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10973245 + ... + 13427915.

It is an arithmetic number, because the mean of its divisors is an integer number (377057256576).

Almost surely, 2^{29948409909180} is an apocalyptic number.

29948409909180 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 29948409909180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54296244946944).

29948409909180 is an abundant number, since it is smaller than the sum of its proper divisors (78644079984708).

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

29948409909180 is a wasteful number, since it uses less digits than its factorization.

29948409909180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2455137 (or 2455132 counting only the distinct ones).

The product of its (nonzero) digits is 120932352, while the sum is 72.

The spelling of 29948409909180 in words is "twenty-nine trillion, nine hundred forty-eight billion, four hundred nine million, nine hundred nine thousand, one hundred eighty".