21292249680 has 800 divisors, whose sum is σ = 85753261440. Its totient is φ = 4852224000.

The previous prime is 21292249679. The next prime is 21292249687. The reversal of 21292249680 is 8694229212.

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 (21292249687) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 84829555 + ... + 84829805.

Almost surely, 2^21292249680 is an apocalyptic number.

21292249680 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 21292249680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42876630720).

21292249680 is an abundant number, since it is smaller than the sum of its proper divisors (64461011760).

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

21292249680 is a wasteful number, since it uses less digits than its factorization.

21292249680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 21292249680 in words is "twenty-one billion, two hundred ninety-two million, two hundred forty-nine thousand, six hundred eighty".