21819626574240 has 768 divisors, whose sum is σ = 77779854802944. Its totient is φ = 5096275968000.

The previous prime is 21819626574199. The next prime is 21819626574253. The reversal of 21819626574240 is 4247562691812.

It is a super-2 number, since 2×21819626574240² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4234351504 + ... + 4234356656.

It is an arithmetic number, because the mean of its divisors is an integer number (101275852608).

Almost surely, 2^{21819626574240} is an apocalyptic number.

21819626574240 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 21819626574240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38889927401472).

21819626574240 is an abundant number, since it is smaller than the sum of its proper divisors (55960228228704).

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

21819626574240 is a wasteful number, since it uses less digits than its factorization.

21819626574240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5493 (or 5485 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 21819626574240 in words is "twenty-one trillion, eight hundred nineteen billion, six hundred twenty-six million, five hundred seventy-four thousand, two hundred forty".