21292679520 has 1152 divisors, whose sum is σ = 94257717120. Its totient is φ = 4459069440.

The previous prime is 21292679497. The next prime is 21292679521. The reversal of 21292679520 is 2597629212.

It is a super-4 number, since 4×21292679520⁴ (a number of 42 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21292679521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 219512112 + ... + 219512208.

It is an arithmetic number, because the mean of its divisors is an integer number (81820935).

Almost surely, 2^21292679520 is an apocalyptic number.

21292679520 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 21292679520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47128858560).

21292679520 is an abundant number, since it is smaller than the sum of its proper divisors (72965037600).

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

21292679520 is a wasteful number, since it uses less digits than its factorization.

21292679520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 21292679520 in words is "twenty-one billion, two hundred ninety-two million, six hundred seventy-nine thousand, five hundred twenty".