21197553262080 has 640 divisors, whose sum is σ = 73813866610176. Its totient is φ = 5158453248000.

The previous prime is 21197553262069. The next prime is 21197553262097. The reversal of 21197553262080 is 8026235579112.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3622891155 + ... + 3622897005.

Almost surely, 2^{21197553262080} is an apocalyptic number.

21197553262080 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 21197553262080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36906933305088).

21197553262080 is an abundant number, since it is smaller than the sum of its proper divisors (52616313348096).

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

21197553262080 is a wasteful number, since it uses less digits than its factorization.

21197553262080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6298 (or 6282 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

It can be divided in two parts, 2119755 and 3262080, that added together give a palindrome (5381835).

The spelling of 21197553262080 in words is "twenty-one trillion, one hundred ninety-seven billion, five hundred fifty-three million, two hundred sixty-two thousand, eighty".