21049855626240 has 1056 divisors, whose sum is σ = 86446953290880. Its totient is φ = 4633864962048.

The previous prime is 21049855626227. The next prime is 21049855626263. The reversal of 21049855626240 is 4262655894012.

21049855626240 is a `hidden beast` number, since 2 + 1 + 0 + 4 + 9 + 8 + 5 + 5 + 6 + 2 + 624 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4050383322 + ... + 4050388518.

Almost surely, 2^{21049855626240} is an apocalyptic number.

21049855626240 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 21049855626240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43223476645440).

21049855626240 is an abundant number, since it is smaller than the sum of its proper divisors (65397097664640).

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

21049855626240 is a wasteful number, since it uses less digits than its factorization.

21049855626240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5697 (or 5676 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 21049855626240 in words is "twenty-one trillion, forty-nine billion, eight hundred fifty-five million, six hundred twenty-six thousand, two hundred forty".