10552304805840 has 640 divisors, whose sum is σ = 42068707430400. Its totient is φ = 2381252290560.

The previous prime is 10552304805811. The next prime is 10552304805929. The reversal of 10552304805840 is 4850840325501.

10552304805840 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 23 + 0 + 48 + 0 + 584 + 0 = 666.

It is a super-2 number, since 2×10552304805840² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3590439091 + ... + 3590442029.

It is an arithmetic number, because the mean of its divisors is an integer number (65732355360).

Almost surely, 2^{10552304805840} is an apocalyptic number.

10552304805840 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 10552304805840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21034353715200).

10552304805840 is an abundant number, since it is smaller than the sum of its proper divisors (31516402624560).

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

10552304805840 is a wasteful number, since it uses less digits than its factorization.

10552304805840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5912 (or 5900 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 10552304805840 in words is "ten trillion, five hundred fifty-two billion, three hundred four million, eight hundred five thousand, eight hundred forty".