1000725943680 has 448 divisors, whose sum is σ = 3615357196800. Its totient is φ = 264743313408.

The previous prime is 1000725943667. The next prime is 1000725943681. The reversal of 1000725943680 is 863495270001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000725943681) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 59244676 + ... + 59261564.

It is a 1-persistent number, because it is pandigital, but 2⋅1000725943680 = 2001451887360 is not.

Almost surely, 2^{1000725943680} is an apocalyptic number.

1000725943680 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 1000725943680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807678598400).

1000725943680 is an abundant number, since it is smaller than the sum of its proper divisors (2614631253120).

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

1000725943680 is an equidigital number, since it uses as much as digits as its factorization.

1000725943680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17053 (or 17026 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 1000725943680 in words is "one trillion, seven hundred twenty-five million, nine hundred forty-three thousand, six hundred eighty".