29378106810 has 256 divisors, whose sum is σ = 89828766720. Its totient is φ = 6768230400.

The previous prime is 29378106781. The next prime is 29378106829. The reversal of 29378106810 is 1860187392.

It is a super-2 number, since 2×29378106810² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11515035 + ... + 11517585.

It is an arithmetic number, because the mean of its divisors is an integer number (350893620).

Almost surely, 2^29378106810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29378106810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44914383360).

29378106810 is an abundant number, since it is smaller than the sum of its proper divisors (60450659910).

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

29378106810 is a wasteful number, since it uses less digits than its factorization.

29378106810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2790 (or 2784 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 29378106810 in words is "twenty-nine billion, three hundred seventy-eight million, one hundred six thousand, eight hundred ten".