66103853760000 has 2100 divisors, whose sum is σ = 287905505303592. Its totient is φ = 15106839552000.

The previous prime is 66103853759963. The next prime is 66103853760037. The reversal of 66103853760000 is 6735830166.

66103853760000 is a `hidden beast` number, since 6 + 6 + 1 + 0 + 3 + 8 + 5 + 37 + 600 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (66103853759963) and next prime (66103853760037).

It is a tau number, because it is divible by the number of its divisors (2100).

It is a super-2 number, since 2×66103853760000² (a number of 28 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 209 ways as a sum of consecutive naturals, for example, 11430717109 + ... + 11430722891.

Almost surely, 2^{66103853760000} is an apocalyptic number.

66103853760000 is a gapful number since it is divisible by the number (60) 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 66103853760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143952752651796).

66103853760000 is an abundant number, since it is smaller than the sum of its proper divisors (221801651543592).

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

66103853760000 is an frugal number, since it uses more digits than its factorization.

66103853760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5853 (or 5800 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 66103853760000 in words is "sixty-six trillion, one hundred three billion, eight hundred fifty-three million, seven hundred sixty thousand".