1000895253120 has 1280 divisors, whose sum is σ = 4376295475200. Its totient is φ = 212782546944.

The previous prime is 1000895253097. The next prime is 1000895253133. The reversal of 1000895253120 is 213525980001.

1000895253120 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 8 + 9 + 525 + 3 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 549036529 + ... + 549038351.

It is an arithmetic number, because the mean of its divisors is an integer number (3418980840).

Almost surely, 2^{1000895253120} is an apocalyptic number.

1000895253120 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 1000895253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2188147737600).

1000895253120 is an abundant number, since it is smaller than the sum of its proper divisors (3375400222080).

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

1000895253120 is a wasteful number, since it uses less digits than its factorization.

1000895253120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1967 (or 1946 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 1000895253120 in words is "one trillion, eight hundred ninety-five million, two hundred fifty-three thousand, one hundred twenty".