1005547811004 has 144 divisors (see below), whose sum is σ = 2823151924320. Its totient is φ = 299222968320.

The previous prime is 1005547811003. The next prime is 1005547811027. The reversal of 1005547811004 is 4001187455001.

1005547811004 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 547 + 8 + 1 + 100 + 4 = 666.

It is a super-2 number, since 2×1005547811004² (a number of 25 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1005547811004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005547811003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6543984 + ... + 6695880.

Almost surely, 2^{1005547811004} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005547811004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411575962160).

1005547811004 is an abundant number, since it is smaller than the sum of its proper divisors (1817604113316).

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

1005547811004 is a wasteful number, since it uses less digits than its factorization.

1005547811004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152220 (or 152215 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The spelling of 1005547811004 in words is "one trillion, five billion, five hundred forty-seven million, eight hundred eleven thousand, four".