29878420572 has 864 divisors, whose sum is σ = 110501314560. Its totient is φ = 6592734720.

The previous prime is 29878420543. The next prime is 29878420639. The reversal of 29878420572 is 27502487892.

29878420572 is a `hidden beast` number, since 29 + 8 + 7 + 8 + 42 + 0 + 572 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 506413879 + ... + 506413937.

It is an arithmetic number, because the mean of its divisors is an integer number (127895040).

Almost surely, 2^29878420572 is an apocalyptic number.

29878420572 is a gapful number since it is divisible by the number (22) 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 29878420572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55250657280).

29878420572 is an abundant number, since it is smaller than the sum of its proper divisors (80622893988).

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

29878420572 is a wasteful number, since it uses less digits than its factorization.

29878420572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 29878420572 in words is "twenty-nine billion, eight hundred seventy-eight million, four hundred twenty thousand, five hundred seventy-two".