1825761161088 has 224 divisors, whose sum is σ = 5464727099760. Its totient is φ = 607322271744.

The previous prime is 1825761161041. The next prime is 1825761161111. The reversal of 1825761161088 is 8801611675281.

1825761161088 is a `hidden beast` number, since 1 + 8 + 2 + 5 + 7 + 6 + 11 + 610 + 8 + 8 = 666.

It is a super-4 number, since 4×1825761161088⁴ (a number of 50 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 45422856 + ... + 45463032.

Almost surely, 2^{1825761161088} is an apocalyptic number.

1825761161088 is a gapful number since it is divisible by the number (18) 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 1825761161088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2732363549880).

1825761161088 is an abundant number, since it is smaller than the sum of its proper divisors (3638965938672).

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

1825761161088 is an frugal number, since it uses more digits than its factorization.

1825761161088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40696 (or 40669 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 54.

The spelling of 1825761161088 in words is "one trillion, eight hundred twenty-five billion, seven hundred sixty-one million, one hundred sixty-one thousand, eighty-eight".