535545410400 has 4608 divisors, whose sum is σ = 2902854205440. Its totient is φ = 91570176000.

The previous prime is 535545410371. The next prime is 535545410401. The reversal of 535545410400 is 4014545535.

535545410400 is a `hidden beast` number, since 5 + 3 + 5 + 545 + 4 + 104 + 0 + 0 = 666.

535545410400 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535545410401) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 11394583177 + ... + 11394583223.

It is an arithmetic number, because the mean of its divisors is an integer number (629959680).

Almost surely, 2^535545410400 is an apocalyptic number.

535545410400 is a gapful number since it is divisible by the number (50) 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 535545410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451427102720).

535545410400 is an abundant number, since it is smaller than the sum of its proper divisors (2367308795040).

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

535545410400 is a wasteful number, since it uses less digits than its factorization.

535545410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

Adding to 535545410400 its reverse (4014545535), we get a palindrome (539559955935).

The spelling of 535545410400 in words is "five hundred thirty-five billion, five hundred forty-five million, four hundred ten thousand, four hundred".