1825729020720 has 640 divisors, whose sum is σ = 7186374328320. Its totient is φ = 421714529280.

The previous prime is 1825729020701. The next prime is 1825729020737. The reversal of 1825729020720 is 270209275281.

1825729020720 is a `hidden beast` number, since 1 + 8 + 2 + 572 + 9 + 0 + 2 + 0 + 72 + 0 = 666.

It is a super-4 number, since 4×1825729020720⁴ (a number of 50 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 143717889 + ... + 143730591.

It is an arithmetic number, because the mean of its divisors is an integer number (11228709888).

Almost surely, 2^{1825729020720} is an apocalyptic number.

1825729020720 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 1825729020720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3593187164160).

1825729020720 is an abundant number, since it is smaller than the sum of its proper divisors (5360645307600).

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

1825729020720 is a wasteful number, since it uses less digits than its factorization.

1825729020720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13022 (or 13010 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 1825729020720 in words is "one trillion, eight hundred twenty-five billion, seven hundred twenty-nine million, twenty thousand, seven hundred twenty".