1005787872960 has 896 divisors, whose sum is σ = 3798941368320. Its totient is φ = 223074238464.

The previous prime is 1005787872923. The next prime is 1005787872967. The reversal of 1005787872960 is 692787875001.

1005787872960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 1005787872894 and 1005787872903.

It is not an unprimeable number, because it can be changed into a prime (1005787872967) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1216188067 + ... + 1216188893.

It is an arithmetic number, because the mean of its divisors is an integer number (4239889920).

Almost surely, 2^{1005787872960} is an apocalyptic number.

1005787872960 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 1005787872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1899470684160).

1005787872960 is an abundant number, since it is smaller than the sum of its proper divisors (2793153495360).

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

1005787872960 is a wasteful number, since it uses less digits than its factorization.

1005787872960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 60.

The spelling of 1005787872960 in words is "one trillion, five billion, seven hundred eighty-seven million, eight hundred seventy-two thousand, nine hundred sixty".