1205003526480 has 160 divisors (see below), whose sum is σ = 4469842245120. Its totient is φ = 296616245760.

The previous prime is 1205003526421. The next prime is 1205003526481. The reversal of 1205003526480 is 846253005021.

1205003526480 is a `hidden beast` number, since 1 + 2 + 0 + 5 + 0 + 0 + 3 + 5 + 2 + 648 + 0 = 666.

It is a super-2 number, since 2×1205003526480² (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (1205003526481) 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, 21428536 + ... + 21484695.

It is an arithmetic number, because the mean of its divisors is an integer number (27936514032).

Almost surely, 2^{1205003526480} is an apocalyptic number.

1205003526480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1205003526480 is an abundant number, since it is smaller than the sum of its proper divisors (3264838718640).

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

1205003526480 is a wasteful number, since it uses less digits than its factorization.

1205003526480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42913266 (or 42913254 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 1205003526480 in words is "one trillion, two hundred five billion, three million, five hundred twenty-six thousand, four hundred eighty".