21719516053400 has 192 divisors, whose sum is σ = 55695083500800. Its totient is φ = 7811225280000.

The previous prime is 21719516053381. The next prime is 21719516053463. The reversal of 21719516053400 is 435061591712.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 204148619 + ... + 204254981.

It is an arithmetic number, because the mean of its divisors is an integer number (290078559900).

Almost surely, 2^{21719516053400} is an apocalyptic number.

21719516053400 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 21719516053400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27847541750400).

21719516053400 is an abundant number, since it is smaller than the sum of its proper divisors (33975567447400).

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

21719516053400 is a wasteful number, since it uses less digits than its factorization.

21719516053400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107410 (or 107401 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 44.

The spelling of 21719516053400 in words is "twenty-one trillion, seven hundred nineteen billion, five hundred sixteen million, fifty-three thousand, four hundred".