21749596727040 has 1728 divisors, whose sum is σ = 97889816545920. Its totient is φ = 4588549668864.

The previous prime is 21749596727011. The next prime is 21749596727059. The reversal of 21749596727040 is 4072769594712.

21749596727040 is a `hidden beast` number, since 2 + 1 + 7 + 495 + 9 + 6 + 72 + 70 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 191 ways as a sum of consecutive naturals, for example, 1783186222 + ... + 1783198418.

It is an arithmetic number, because the mean of its divisors is an integer number (56649199390).

Almost surely, 2^{21749596727040} is an apocalyptic number.

21749596727040 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 21749596727040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48944908272960).

21749596727040 is an abundant number, since it is smaller than the sum of its proper divisors (76140219818880).

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

21749596727040 is an equidigital number, since it uses as much as digits as its factorization.

21749596727040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12266 (or 12227 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 63.

The spelling of 21749596727040 in words is "twenty-one trillion, seven hundred forty-nine billion, five hundred ninety-six million, seven hundred twenty-seven thousand, forty".