6416053551600 has 720 divisors, whose sum is σ = 27616063815936. Its totient is φ = 1254779904000.

The previous prime is 6416053551529. The next prime is 6416053551641. The reversal of 6416053551600 is 61553506146.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 10703845 + ... + 11287355.

Almost surely, 2^{6416053551600} is an apocalyptic number.

6416053551600 is a gapful number since it is divisible by the number (60) 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 6416053551600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13808031907968).

6416053551600 is an abundant number, since it is smaller than the sum of its proper divisors (21200010264336).

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

6416053551600 is a wasteful number, since it uses less digits than its factorization.

6416053551600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583574 (or 583556 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 42.

The spelling of 6416053551600 in words is "six trillion, four hundred sixteen billion, fifty-three million, five hundred fifty-one thousand, six hundred".