29385125679460 has 48 divisors (see below), whose sum is σ = 62051375458800. Its totient is φ = 11688794449920.

The previous prime is 29385125679449. The next prime is 29385125679551. The reversal of 29385125679460 is 6497652158392.

It can be written as a sum of positive squares in 8 ways, for example, as 5624979863616 + 23760145815844 = 2371704^2 + 4874438^2 .

It is a super-2 number, since 2×29385125679460² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (67) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170115216 + ... + 170287864.

It is an arithmetic number, because the mean of its divisors is an integer number (1292736988725).

It is a 1-persistent number, because it is pandigital, but 2⋅29385125679460 = 58770251358920 is not.

Almost surely, 2^{29385125679460} is an apocalyptic number.

29385125679460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29385125679460 is an abundant number, since it is smaller than the sum of its proper divisors (32666249779340).

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

29385125679460 is a wasteful number, since it uses less digits than its factorization.

29385125679460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219856 (or 219854 counting only the distinct ones).

The product of its (nonzero) digits is 195955200, while the sum is 67.

The spelling of 29385125679460 in words is "twenty-nine trillion, three hundred eighty-five billion, one hundred twenty-five million, six hundred seventy-nine thousand, four hundred sixty".