66572024214528 has 1056 divisors, whose sum is σ = 247419593020800. Its totient is φ = 17563630436352.

The previous prime is 66572024214473. The next prime is 66572024214533. The reversal of 66572024214528 is 82541242027566.

66572024214528 is a `hidden beast` number, since 6 + 6 + 5 + 7 + 202 + 421 + 4 + 5 + 2 + 8 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1220604283 + ... + 1220658821.

Almost surely, 2^{66572024214528} is an apocalyptic number.

66572024214528 is a gapful number since it is divisible by the number (68) 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 66572024214528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123709796510400).

66572024214528 is an abundant number, since it is smaller than the sum of its proper divisors (180847568806272).

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

66572024214528 is a wasteful number, since it uses less digits than its factorization.

66572024214528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54652 (or 54621 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 66572024214528 in words is "sixty-six trillion, five hundred seventy-two billion, twenty-four million, two hundred fourteen thousand, five hundred twenty-eight".