21910863744 has 512 divisors, whose sum is σ = 81348019200. Its totient is φ = 5640192000.

The previous prime is 21910863743. The next prime is 21910863769. The reversal of 21910863744 is 44736801912.

21910863744 is a `hidden beast` number, since 2 + 1 + 9 + 1 + 0 + 8 + 637 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 21910863744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21910863743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36457044 + ... + 36457644.

It is an arithmetic number, because the mean of its divisors is an integer number (158882850).

Almost surely, 2^21910863744 is an apocalyptic number.

21910863744 is a gapful number since it is divisible by the number (24) 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 21910863744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40674009600).

21910863744 is an abundant number, since it is smaller than the sum of its proper divisors (59437155456).

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

21910863744 is a wasteful number, since it uses less digits than its factorization.

21910863744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 21910863744 in words is "twenty-one billion, nine hundred ten million, eight hundred sixty-three thousand, seven hundred forty-four".