21496753286400 has 1728 divisors, whose sum is σ = 89079994515456. Its totient is φ = 4451991552000.

The previous prime is 21496753286381. The next prime is 21496753286531. The reversal of 21496753286400 is 468235769412.

It is a super-2 number, since 2×21496753286400² (a number of 27 digits) contains 22 as substring.

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, 15794821720 + ... + 15794823080.

It is an arithmetic number, because the mean of its divisors is an integer number (51550922752).

It is a 1-persistent number, because it is pandigital, but 2⋅21496753286400 = 42993506572800 is not.

Almost surely, 2^{21496753286400} is an apocalyptic number.

21496753286400 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 21496753286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44539997257728).

21496753286400 is an abundant number, since it is smaller than the sum of its proper divisors (67583241229056).

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

21496753286400 is a wasteful number, since it uses less digits than its factorization.

21496753286400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 57.

The spelling of 21496753286400 in words is "twenty-one trillion, four hundred ninety-six billion, seven hundred fifty-three million, two hundred eighty-six thousand, four hundred".