29813928772608 has 66 divisors (see below), whose sum is σ = 86087072353854. Its totient is φ = 9937976254464.

The previous prime is 29813928772597. The next prime is 29813928772627. The reversal of 29813928772608 is 80627782931892.

29813928772608 is a `hidden beast` number, since 2 + 9 + 8 + 1 + 3 + 9 + 2 + 8 + 7 + 7 + 2 + 608 = 666.

It can be written as a sum of positive squares in only one way, i.e., 28765287235584 + 1048641537024 = 5363328^2 + 1024032^2 .

It is a super-2 number, since 2×29813928772608² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1617499941 + ... + 1617518372.

It is an arithmetic number, because the mean of its divisors is an integer number (1304349581119).

Almost surely, 2^{29813928772608} is an apocalyptic number.

It is an amenable number.

29813928772608 is an abundant number, since it is smaller than the sum of its proper divisors (56273143581246).

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

29813928772608 is a wasteful number, since it uses less digits than its factorization.

29813928772608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3235018339 (or 3235018318 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 29813928772608 in words is "twenty-nine trillion, eight hundred thirteen billion, nine hundred twenty-eight million, seven hundred seventy-two thousand, six hundred eight".