65966574000 has 320 divisors, whose sum is σ = 222233776128. Its totient is φ = 16814592000.

The previous prime is 65966573987. The next prime is 65966574007. The reversal of 65966574000 is 47566956.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (65966574007) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 15435864 + ... + 15440136.

Almost surely, 2^65966574000 is an apocalyptic number.

65966574000 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 65966574000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111116888064).

65966574000 is an abundant number, since it is smaller than the sum of its proper divisors (156267202128).

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

65966574000 is a wasteful number, since it uses less digits than its factorization.

65966574000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4413 (or 4397 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 48.

The spelling of 65966574000 in words is "sixty-five billion, nine hundred sixty-six million, five hundred seventy-four thousand".