1825515258000 has 640 divisors, whose sum is σ = 6970803840000. Its totient is φ = 402142003200.

The previous prime is 1825515257953. The next prime is 1825515258013. The reversal of 1825515258000 is 8525155281.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 936641026 + ... + 936642974.

It is an arithmetic number, because the mean of its divisors is an integer number (10891881000).

Almost surely, 2^{1825515258000} is an apocalyptic number.

1825515258000 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 1825515258000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3485401920000).

1825515258000 is an abundant number, since it is smaller than the sum of its proper divisors (5145288582000).

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

1825515258000 is a wasteful number, since it uses less digits than its factorization.

1825515258000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2780 (or 2764 counting only the distinct ones).

The product of its (nonzero) digits is 160000, while the sum is 42.

The spelling of 1825515258000 in words is "one trillion, eight hundred twenty-five billion, five hundred fifteen million, two hundred fifty-eight thousand".