65553546240 has 1232 divisors, whose sum is σ = 291681582528. Its totient is φ = 13759414272.

The previous prime is 65553546181. The next prime is 65553546259. The reversal of 65553546240 is 4264535556.

65553546240 is a `hidden beast` number, since 6 + 5 + 55 + 354 + 6 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 339655584 + ... + 339655776.

Almost surely, 2^65553546240 is an apocalyptic number.

65553546240 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 65553546240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145840791264).

65553546240 is an abundant number, since it is smaller than the sum of its proper divisors (226128036288).

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

65553546240 is a wasteful number, since it uses less digits than its factorization.

65553546240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

The spelling of 65553546240 in words is "sixty-five billion, five hundred fifty-three million, five hundred forty-six thousand, two hundred forty".