10550785290240 has 416 divisors, whose sum is σ = 38268677018880. Its totient is φ = 2460422504448.

The previous prime is 10550785290193. The next prime is 10550785290247. The reversal of 10550785290240 is 4209258705501.

It is a tau number, because it is divible by the number of its divisors (416).

It is a super-2 number, since 2×10550785290240² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10550785290240.

It is not an unprimeable number, because it can be changed into a prime (10550785290247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14828059 + ... + 15523301.

Almost surely, 2^{10550785290240} is an apocalyptic number.

10550785290240 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 10550785290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19134338509440).

10550785290240 is an abundant number, since it is smaller than the sum of its proper divisors (27717891728640).

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

10550785290240 is a wasteful number, since it uses less digits than its factorization.

10550785290240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695307 (or 695285 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 48.

The spelling of 10550785290240 in words is "ten trillion, five hundred fifty billion, seven hundred eighty-five million, two hundred ninety thousand, two hundred forty".