65656140480000 has 1200 divisors, whose sum is σ = 277214364082656. Its totient is φ = 14640906240000.

The previous prime is 65656140479981. The next prime is 65656140480019. The reversal of 65656140480000 is 8404165656.

65656140480000 is a `hidden beast` number, since 6 + 5 + 6 + 561 + 4 + 0 + 4 + 80 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (65656140479981) and next prime (65656140480019).

It is a tau number, because it is divible by the number of its divisors (1200).

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 119 ways as a sum of consecutive naturals, for example, 826520284 + ... + 826599716.

Almost surely, 2^{65656140480000} is an apocalyptic number.

65656140480000 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 65656140480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138607182041328).

65656140480000 is an abundant number, since it is smaller than the sum of its proper divisors (211558223602656).

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

65656140480000 is an equidigital number, since it uses as much as digits as its factorization.

65656140480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79525 (or 79491 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 65656140480000 in words is "sixty-five trillion, six hundred fifty-six billion, one hundred forty million, four hundred eighty thousand".