29690107824432 has 80 divisors (see below), whose sum is σ = 85617985419648. Its totient is φ = 8787769751040.

The previous prime is 29690107824427. The next prime is 29690107824437. The reversal of 29690107824432 is 23442870109692.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (29690107824427) and next prime (29690107824437).

It is a super-2 number, since 2×29690107824432² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (29690107824437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 653829213 + ... + 653874620.

Almost surely, 2^{29690107824432} is an apocalyptic number.

29690107824432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

29690107824432 is an abundant number, since it is smaller than the sum of its proper divisors (55927877595216).

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

29690107824432 is a wasteful number, since it uses less digits than its factorization.

29690107824432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307703898 (or 1307703892 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 57.

The spelling of 29690107824432 in words is "twenty-nine trillion, six hundred ninety billion, one hundred seven million, eight hundred twenty-four thousand, four hundred thirty-two".