16220756450400 has 324 divisors, whose sum is σ = 53178258178332. Its totient is φ = 4294650024960.

The previous prime is 16220756450377. The next prime is 16220756450473. The reversal of 16220756450400 is 405465702261.

It is a super-2 number, since 2×16220756450400² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 45183165421 + ... + 45183165779.

Almost surely, 2^{16220756450400} is an apocalyptic number.

16220756450400 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 16220756450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26589129089166).

16220756450400 is an abundant number, since it is smaller than the sum of its proper divisors (36957501727932).

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

16220756450400 is an frugal number, since it uses more digits than its factorization.

16220756450400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 16220756450400 in words is "sixteen trillion, two hundred twenty billion, seven hundred fifty-six million, four hundred fifty thousand, four hundred".