1535125012000 has 192 divisors, whose sum is σ = 3840798124800. Its totient is φ = 602845132800.

The previous prime is 1535125011949. The next prime is 1535125012019. The reversal of 1535125012000 is 2105215351.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198000124 + ... + 198007876.

It is an arithmetic number, because the mean of its divisors is an integer number (20004156900).

Almost surely, 2^{1535125012000} is an apocalyptic number.

1535125012000 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 1535125012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920399062400).

1535125012000 is an abundant number, since it is smaller than the sum of its proper divisors (2305673112800).

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

1535125012000 is an equidigital number, since it uses as much as digits as its factorization.

1535125012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8676 (or 8658 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 25.

The spelling of 1535125012000 in words is "one trillion, five hundred thirty-five billion, one hundred twenty-five million, twelve thousand".