21829269504 has 288 divisors, whose sum is σ = 69912460800. Its totient is φ = 6033162240.

The previous prime is 21829269503. The next prime is 21829269547. The reversal of 21829269504 is 40596292812.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21829269503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9331567 + ... + 9333905.

It is an arithmetic number, because the mean of its divisors is an integer number (242751600).

Almost surely, 2^21829269504 is an apocalyptic number.

21829269504 is a gapful number since it is divisible by the number (24) 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 21829269504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34956230400).

21829269504 is an abundant number, since it is smaller than the sum of its proper divisors (48083191296).

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

21829269504 is a wasteful number, since it uses less digits than its factorization.

21829269504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2409 (or 2382 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 21829269504 in words is "twenty-one billion, eight hundred twenty-nine million, two hundred sixty-nine thousand, five hundred four".