1005551520240 has 160 divisors (see below), whose sum is σ = 3127846233600. Its totient is φ = 267233541120.

The previous prime is 1005551520223. The next prime is 1005551520247. The reversal of 1005551520240 is 420251555001.

1005551520240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1005551520240² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1005551520198 and 1005551520207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005551520247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102299646 + ... + 102309474.

It is an arithmetic number, because the mean of its divisors is an integer number (19549038960).

Almost surely, 2^{1005551520240} is an apocalyptic number.

1005551520240 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 1005551520240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563923116800).

1005551520240 is an abundant number, since it is smaller than the sum of its proper divisors (2122294713360).

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

1005551520240 is a wasteful number, since it uses less digits than its factorization.

1005551520240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11255 (or 11249 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 30.

The spelling of 1005551520240 in words is "one trillion, five billion, five hundred fifty-one million, five hundred twenty thousand, two hundred forty".