21913380788544 has 448 divisors, whose sum is σ = 77529903360000. Its totient is φ = 5929098227712.

The previous prime is 21913380788531. The next prime is 21913380788711. The reversal of 21913380788544 is 44588708331912.

21913380788544 is a `hidden beast` number, since 2 + 1 + 9 + 1 + 3 + 3 + 8 + 0 + 7 + 88 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 627172227 + ... + 627207165.

It is an arithmetic number, because the mean of its divisors is an integer number (173057820000).

Almost surely, 2^{21913380788544} is an apocalyptic number.

21913380788544 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 21913380788544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38764951680000).

21913380788544 is an abundant number, since it is smaller than the sum of its proper divisors (55616522571456).

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

21913380788544 is a wasteful number, since it uses less digits than its factorization.

21913380788544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37715 (or 37699 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 21913380788544 in words is "twenty-one trillion, nine hundred thirteen billion, three hundred eighty million, seven hundred eighty-eight thousand, five hundred forty-four".