66272919552000 has 3648 divisors, whose sum is σ = 300092819120640. Its totient is φ = 14269022208000.

The previous prime is 66272919551999. The next prime is 66272919552061. The reversal of 66272919552000 is 25591927266.

66272919552000 is a `hidden beast` number, since 6 + 6 + 2 + 7 + 29 + 1 + 95 + 520 + 0 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 1616412671980 + ... + 1616412672020.

Almost surely, 2^{66272919552000} is an apocalyptic number.

66272919552000 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 66272919552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150046409560320).

66272919552000 is an abundant number, since it is smaller than the sum of its proper divisors (233819899568640).

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

66272919552000 is an frugal number, since it uses more digits than its factorization.

66272919552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 66272919552000 in words is "sixty-six trillion, two hundred seventy-two billion, nine hundred nineteen million, five hundred fifty-two thousand".