2575019172960 has 504 divisors, whose sum is σ = 9876717399024. Its totient is φ = 633846021120.

The previous prime is 2575019172953. The next prime is 2575019173009. The reversal of 2575019172960 is 692719105752.

It is a happy number.

2575019172960 is a `hidden beast` number, since 2 + 5 + 7 + 501 + 9 + 1 + 72 + 9 + 60 = 666.

It is a super-2 number, since 2×2575019172960² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2575019172897 and 2575019172906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 19646845 + ... + 19777475.

It is an arithmetic number, because the mean of its divisors is an integer number (19596661506).

Almost surely, 2^{2575019172960} is an apocalyptic number.

2575019172960 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 2575019172960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4938358699512).

2575019172960 is an abundant number, since it is smaller than the sum of its proper divisors (7301698226064).

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

2575019172960 is a wasteful number, since it uses less digits than its factorization.

2575019172960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130690 (or 130654 counting only the distinct ones).

The product of its (nonzero) digits is 2381400, while the sum is 54.

The spelling of 2575019172960 in words is "two trillion, five hundred seventy-five billion, nineteen million, one hundred seventy-two thousand, nine hundred sixty".