2575048164480 has 1280 divisors, whose sum is σ = 10663381365120. Its totient is φ = 585252864000.

The previous prime is 2575048164467. The next prime is 2575048164509. The reversal of 2575048164480 is 844618405752.

2575048164480 is a `hidden beast` number, since 2 + 5 + 7 + 504 + 8 + 16 + 44 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4759793010 + ... + 4759793550.

Almost surely, 2^{2575048164480} is an apocalyptic number.

2575048164480 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 2575048164480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5331690682560).

2575048164480 is an abundant number, since it is smaller than the sum of its proper divisors (8088333200640).

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

2575048164480 is a wasteful number, since it uses less digits than its factorization.

2575048164480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 2575048164480 in words is "two trillion, five hundred seventy-five billion, forty-eight million, one hundred sixty-four thousand, four hundred eighty".