6535555160400 has 1440 divisors, whose sum is σ = 28206582663168. Its totient is φ = 1367182540800.

The previous prime is 6535555160357. The next prime is 6535555160423. The reversal of 6535555160400 is 40615555356.

6535555160400 is a `hidden beast` number, since 6 + 5 + 3 + 55 + 551 + 6 + 0 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10661590494 + ... + 10661591106.

Almost surely, 2^{6535555160400} is an apocalyptic number.

6535555160400 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 6535555160400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14103291331584).

6535555160400 is an abundant number, since it is smaller than the sum of its proper divisors (21671027502768).

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

6535555160400 is a wasteful number, since it uses less digits than its factorization.

6535555160400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 1350000, while the sum is 45.

The spelling of 6535555160400 in words is "six trillion, five hundred thirty-five billion, five hundred fifty-five million, one hundred sixty thousand, four hundred".