21319268630400 has 1152 divisors, whose sum is σ = 82735032744000. Its totient is φ = 5196125306880.

The previous prime is 21319268630381. The next prime is 21319268630411. The reversal of 21319268630400 is 403686291312.

21319268630400 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 9 + 2 + 6 + 8 + 630 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×21319268630400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21821154712 + ... + 21821155688.

Almost surely, 2^{21319268630400} is an apocalyptic number.

21319268630400 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 21319268630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41367516372000).

21319268630400 is an abundant number, since it is smaller than the sum of its proper divisors (61415764113600).

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

21319268630400 is a wasteful number, since it uses less digits than its factorization.

21319268630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 21319268630400 in words is "twenty-one trillion, three hundred nineteen billion, two hundred sixty-eight million, six hundred thirty thousand, four hundred".