2535461220600 has 1152 divisors, whose sum is σ = 11211828825600. Its totient is φ = 497464934400.

The previous prime is 2535461220571. The next prime is 2535461220647. The reversal of 2535461220600 is 60221645352.

2535461220600 is a `hidden beast` number, since 2 + 5 + 3 + 5 + 46 + 1 + 2 + 2 + 0 + 600 = 666.

2535461220600 is digitally balanced in base 2, 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 an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 887454372 + ... + 887457228.

It is an arithmetic number, because the mean of its divisors is an integer number (9732490300).

Almost surely, 2^{2535461220600} is an apocalyptic number.

2535461220600 is a gapful number since it is divisible by the number (20) 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 2535461220600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5605914412800).

2535461220600 is an abundant number, since it is smaller than the sum of its proper divisors (8676367605000).

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

2535461220600 is a wasteful number, since it uses less digits than its factorization.

2535461220600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3253 (or 3241 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 2535461220600 its reverse (60221645352), we get a palindrome (2595682865952).

The spelling of 2535461220600 in words is "two trillion, five hundred thirty-five billion, four hundred sixty-one million, two hundred twenty thousand, six hundred".