21019812480 has 768 divisors, whose sum is σ = 81628560000. Its totient is φ = 4960714752.

The previous prime is 21019812479. The next prime is 21019812497. The reversal of 21019812480 is 8421891012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 117429031 + ... + 117429209.

Almost surely, 2^21019812480 is an apocalyptic number.

21019812480 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 21019812480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40814280000).

21019812480 is an abundant number, since it is smaller than the sum of its proper divisors (60608747520).

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

21019812480 is a wasteful number, since it uses less digits than its factorization.

21019812480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 21019812480 in words is "twenty-one billion, nineteen million, eight hundred twelve thousand, four hundred eighty".