1025540161600 has 168 divisors, whose sum is σ = 2583854989760. Its totient is φ = 400412436480.

The previous prime is 1025540161577. The next prime is 1025540161609. The reversal of 1025540161600 is 61610455201.

It is a super-2 number, since 2×1025540161600² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1025540161609) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 129271234 + ... + 129279166.

Almost surely, 2^{1025540161600} is an apocalyptic number.

1025540161600 is a gapful number since it is divisible by the number (10) 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 1025540161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291927494880).

1025540161600 is an abundant number, since it is smaller than the sum of its proper divisors (1558314828160).

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

1025540161600 is a wasteful number, since it uses less digits than its factorization.

1025540161600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9877 (or 9862 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The spelling of 1025540161600 in words is "one trillion, twenty-five billion, five hundred forty million, one hundred sixty-one thousand, six hundred".