65145600000 has 1152 divisors, whose sum is σ = 268717176000. Its totient is φ = 15482880000.

The previous prime is 65145599999. The next prime is 65145600007. The reversal of 65145600000 is 654156.

It is a happy number.

65145600000 is a `hidden beast` number, since 6 + 51 + 4 + 5 + 600 + 0 + 0 + 0 = 666.

65145600000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65145600007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2246399986 + ... + 2246400014.

Almost surely, 2^65145600000 is an apocalyptic number.

65145600000 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 65145600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134358588000).

65145600000 is an abundant number, since it is smaller than the sum of its proper divisors (203571576000).

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

65145600000 is an equidigital number, since it uses as much as digits as its factorization.

65145600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 65145600000 in words is "sixty-five billion, one hundred forty-five million, six hundred thousand".