29878164080640 has 288 divisors, whose sum is σ = 103676039812800. Its totient is φ = 7957993390080.

The previous prime is 29878164080599. The next prime is 29878164080663. The reversal of 29878164080640 is 4608046187892.

29878164080640 is a `hidden beast` number, since 2 + 98 + 7 + 81 + 6 + 408 + 0 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77129035 + ... + 77515445.

It is an arithmetic number, because the mean of its divisors is an integer number (359986249350).

Almost surely, 2^{29878164080640} is an apocalyptic number.

29878164080640 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 29878164080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51838019906400).

29878164080640 is an abundant number, since it is smaller than the sum of its proper divisors (73797875732160).

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

29878164080640 is a wasteful number, since it uses less digits than its factorization.

29878164080640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387283 (or 387260 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 29878164080640 in words is "twenty-nine trillion, eight hundred seventy-eight billion, one hundred sixty-four million, eighty thousand, six hundred forty".