21291630796800 has 5376 divisors, whose sum is σ = 108120879820800. Its totient is φ = 3974941900800.

The previous prime is 21291630796769. The next prime is 21291630796801. The reversal of 21291630796800 is 869703619212.

It is a tau number, because it is divible by the number of its divisors (5376).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (21291630796801) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 162531532735 + ... + 162531532865.

It is an arithmetic number, because the mean of its divisors is an integer number (20111770800).

Almost surely, 2^{21291630796800} is an apocalyptic number.

21291630796800 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 21291630796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54060439910400).

21291630796800 is an abundant number, since it is smaller than the sum of its proper divisors (86829249024000).

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

21291630796800 is a wasteful number, since it uses less digits than its factorization.

21291630796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 21291630796800 in words is "twenty-one trillion, two hundred ninety-one billion, six hundred thirty million, seven hundred ninety-six thousand, eight hundred".