29509396420 has 72 divisors (see below), whose sum is σ = 72140977944. Its totient is φ = 10109965824.

The previous prime is 29509396379. The next prime is 29509396471. The reversal of 29509396420 is 2469390592.

It can be written as a sum of positive squares in 4 ways, for example, as 379782144 + 29129614276 = 19488^2 + 170674^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1393834 + ... + 1414846.

It is an arithmetic number, because the mean of its divisors is an integer number (1001958027).

Almost surely, 2^29509396420 is an apocalyptic number.

29509396420 is a gapful number since it is divisible by the number (20) 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 29509396420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36070488972).

29509396420 is an abundant number, since it is smaller than the sum of its proper divisors (42631581524).

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

29509396420 is a wasteful number, since it uses less digits than its factorization.

29509396420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22469 (or 22460 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 49.

The spelling of 29509396420 in words is "twenty-nine billion, five hundred nine million, three hundred ninety-six thousand, four hundred twenty".