21112254134400 has 1536 divisors, whose sum is σ = 85484808622080. Its totient is φ = 4506447052800.

The previous prime is 21112254134399. The next prime is 21112254134417. The reversal of 21112254134400 is 443145221112.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 15376732114 + ... + 15376733486.

It is an arithmetic number, because the mean of its divisors is an integer number (55654172280).

Almost surely, 2^{21112254134400} is an apocalyptic number.

21112254134400 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 21112254134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42742404311040).

21112254134400 is an abundant number, since it is smaller than the sum of its proper divisors (64372554487680).

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

21112254134400 is a wasteful number, since it uses less digits than its factorization.

21112254134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1934 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 21112254134400 its reverse (443145221112), we get a palindrome (21555399355512).

The spelling of 21112254134400 in words is "twenty-one trillion, one hundred twelve billion, two hundred fifty-four million, one hundred thirty-four thousand, four hundred".