66164411263200 has 144 divisors (see below), whose sum is σ = 222312422094336. Its totient is φ = 17074686758400.

The previous prime is 66164411263147. The next prime is 66164411263351. The reversal of 66164411263200 is 236211446166.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 444578902 + ... + 444727701.

It is an arithmetic number, because the mean of its divisors is an integer number (1543836264544).

Almost surely, 2^{66164411263200} is an apocalyptic number.

66164411263200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66164411263200 is an abundant number, since it is smaller than the sum of its proper divisors (156148010831136).

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

66164411263200 is a wasteful number, since it uses less digits than its factorization.

66164411263200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889306657 (or 889306644 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 66164411263200 in words is "sixty-six trillion, one hundred sixty-four billion, four hundred eleven million, two hundred sixty-three thousand, two hundred".