66950253420120 has 1920 divisors, whose sum is σ = 272396445235200. Its totient is φ = 14444061585408.

The previous prime is 66950253420119. The next prime is 66950253420131. The reversal of 66950253420120 is 2102435205966.

66950253420120 is a `hidden beast` number, since 6 + 6 + 9 + 50 + 2 + 53 + 420 + 120 = 666.

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 479 ways as a sum of consecutive naturals, for example, 236573333499 + ... + 236573333781.

It is an arithmetic number, because the mean of its divisors is an integer number (141873148560).

Almost surely, 2^{66950253420120} is an apocalyptic number.

66950253420120 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 66950253420120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136198222617600).

66950253420120 is an abundant number, since it is smaller than the sum of its proper divisors (205446191815080).

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

66950253420120 is a wasteful number, since it uses less digits than its factorization.

66950253420120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 66950253420120 in words is "sixty-six trillion, nine hundred fifty billion, two hundred fifty-three million, four hundred twenty thousand, one hundred twenty".