13214522510400 has 168 divisors, whose sum is σ = 43431661293984. Its totient is φ = 3517612851200.

The previous prime is 13214522510381. The next prime is 13214522510417. The reversal of 13214522510400 is 401522541231.

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

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 23 ways as a sum of consecutive naturals, for example, 257440 + ... + 5147360.

Almost surely, 2^{13214522510400} is an apocalyptic number.

13214522510400 is a gapful number since it is divisible by the number (10) 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 13214522510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21715830646992).

13214522510400 is an abundant number, since it is smaller than the sum of its proper divisors (30217138783584).

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

13214522510400 is a wasteful number, since it uses less digits than its factorization.

13214522510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4890509 (or 4890494 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 13214522510400 in words is "thirteen trillion, two hundred fourteen billion, five hundred twenty-two million, five hundred ten thousand, four hundred".