1005540052000 has 96 divisors (see below), whose sum is σ = 2695213108224. Its totient is φ = 365650912000.

The previous prime is 1005540051941. The next prime is 1005540052009. The reversal of 1005540052000 is 2500455001.

It is a super-2 number, since 2×1005540052000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (1005540052009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11382592 + ... + 11470591.

It is an arithmetic number, because the mean of its divisors is an integer number (28075136544).

Almost surely, 2^{1005540052000} is an apocalyptic number.

1005540052000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005540052000 is an abundant number, since it is smaller than the sum of its proper divisors (1689673056224).

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

1005540052000 is a wasteful number, since it uses less digits than its factorization.

1005540052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22853219 (or 22853201 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 22.

The spelling of 1005540052000 in words is "one trillion, five billion, five hundred forty million, fifty-two thousand".