2675545133400 has 576 divisors, whose sum is σ = 9678205555200. Its totient is φ = 686428162560.

The previous prime is 2675545133311. The next prime is 2675545133431. The reversal of 2675545133400 is 43315455762.

2675545133400 is a `hidden beast` number, since 2 + 6 + 7 + 554 + 51 + 3 + 3 + 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 134757874 + ... + 134777726.

It is an arithmetic number, because the mean of its divisors is an integer number (16802440200).

Almost surely, 2^{2675545133400} is an apocalyptic number.

2675545133400 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 2675545133400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4839102777600).

2675545133400 is an abundant number, since it is smaller than the sum of its proper divisors (7002660421800).

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

2675545133400 is a wasteful number, since it uses less digits than its factorization.

2675545133400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19990 (or 19969 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 2675545133400 in words is "two trillion, six hundred seventy-five billion, five hundred forty-five million, one hundred thirty-three thousand, four hundred".