1825735775040 has 280 divisors, whose sum is σ = 6505046199432. Its totient is φ = 486069534720.

The previous prime is 1825735775023. The next prime is 1825735775041. The reversal of 1825735775040 is 405775375281.

1825735775040 is a `hidden beast` number, since 1 + 8 + 25 + 7 + 3 + 577 + 5 + 0 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 136214141184 + 1689521633856 = 369072^2 + 1299816^2 .

It is a super-4 number, since 4×1825735775040⁴ (a number of 50 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1825735775041) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15935560 + ... + 16049720.

Almost surely, 2^{1825735775040} is an apocalyptic number.

1825735775040 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 1825735775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3252523099716).

1825735775040 is an abundant number, since it is smaller than the sum of its proper divisors (4679310424392).

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

1825735775040 is a wasteful number, since it uses less digits than its factorization.

1825735775040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114807 (or 114788 counting only the distinct ones).

The product of its (nonzero) digits is 8232000, while the sum is 54.

The spelling of 1825735775040 in words is "one trillion, eight hundred twenty-five billion, seven hundred thirty-five million, seven hundred seventy-five thousand, forty".