65460096000 has 1408 divisors, whose sum is σ = 274676613120. Its totient is φ = 15261696000.

The previous prime is 65460095927. The next prime is 65460096061. The reversal of 65460096000 is 69006456.

It is a happy number.

65460096000 is a `hidden beast` number, since 6 + 5 + 46 + 0 + 0 + 9 + 600 + 0 = 666.

65460096000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1392767977 + ... + 1392768023.

Almost surely, 2^65460096000 is an apocalyptic number.

65460096000 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 65460096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137338306560).

65460096000 is an abundant number, since it is smaller than the sum of its proper divisors (209216517120).

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

65460096000 is a wasteful number, since it uses less digits than its factorization.

65460096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 65460096000 in words is "sixty-five billion, four hundred sixty million, ninety-six thousand".