1001897525720 has 256 divisors, whose sum is σ = 2869927200000. Its totient is φ = 312736370688.

The previous prime is 1001897525711. The next prime is 1001897525731. The reversal of 1001897525720 is 275257981001.

1001897525720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12981806 + ... + 13058754.

It is an arithmetic number, because the mean of its divisors is an integer number (11210653125).

Almost surely, 2^{1001897525720} is an apocalyptic number.

1001897525720 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 1001897525720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434963600000).

1001897525720 is an abundant number, since it is smaller than the sum of its proper divisors (1868029674280).

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

1001897525720 is a wasteful number, since it uses less digits than its factorization.

1001897525720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77067 (or 77049 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 47.

The spelling of 1001897525720 in words is "one trillion, one billion, eight hundred ninety-seven million, five hundred twenty-five thousand, seven hundred twenty".