10551501785664 has 1008 divisors, whose sum is σ = 37807344207360. Its totient is φ = 2906198507520.

The previous prime is 10551501785663. The next prime is 10551501785689. The reversal of 10551501785664 is 46658710515501.

10551501785664 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 1 + 5 + 0 + 1 + 78 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×10551501785664² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 10551501785664.

It is not an unprimeable number, because it can be changed into a prime (10551501785663) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7488644992 + ... + 7488646400.

It is an arithmetic number, because the mean of its divisors is an integer number (37507285920).

Almost surely, 2^{10551501785664} is an apocalyptic number.

10551501785664 is a gapful number since it is divisible by the number (14) 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 10551501785664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18903672103680).

10551501785664 is an abundant number, since it is smaller than the sum of its proper divisors (27255842421696).

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

10551501785664 is a wasteful number, since it uses less digits than its factorization.

10551501785664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 5040000, while the sum is 54.

The spelling of 10551501785664 in words is "ten trillion, five hundred fifty-one billion, five hundred one million, seven hundred eighty-five thousand, six hundred sixty-four".