21263711154840 has 1152 divisors, whose sum is σ = 96757053120000. Its totient is φ = 3939637616640.

The previous prime is 21263711154827. The next prime is 21263711154841. The reversal of 21263711154840 is 4845111736212.

21263711154840 is a `hidden beast` number, since 2 + 1 + 2 + 63 + 7 + 1 + 1 + 1 + 548 + 40 = 666.

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 (21263711154841) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 98381211 + ... + 98597109.

It is an arithmetic number, because the mean of its divisors is an integer number (83990497500).

Almost surely, 2^{21263711154840} is an apocalyptic number.

21263711154840 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 21263711154840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48378526560000).

21263711154840 is an abundant number, since it is smaller than the sum of its proper divisors (75493341965160).

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

21263711154840 is a wasteful number, since it uses less digits than its factorization.

21263711154840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215981 (or 215963 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 21263711154840 in words is "twenty-one trillion, two hundred sixty-three billion, seven hundred eleven million, one hundred fifty-four thousand, eight hundred forty".