21157696118400 has 768 divisors, whose sum is σ = 77334364569600. Its totient is φ = 5062558924800.

The previous prime is 21157696118389. The next prime is 21157696118407. The reversal of 21157696118400 is 481169675112.

It is not an unprimeable number, because it can be changed into a prime (21157696118407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 265716994 + ... + 265796606.

It is an arithmetic number, because the mean of its divisors is an integer number (100695787200).

Almost surely, 2^{21157696118400} is an apocalyptic number.

21157696118400 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 21157696118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38667182284800).

21157696118400 is an abundant number, since it is smaller than the sum of its proper divisors (56176668451200).

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

21157696118400 is a wasteful number, since it uses less digits than its factorization.

21157696118400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79737 (or 79720 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 51.

The spelling of 21157696118400 in words is "twenty-one trillion, one hundred fifty-seven billion, six hundred ninety-six million, one hundred eighteen thousand, four hundred".