53668270656 has 1792 divisors, whose sum is σ = 235959091200. Its totient is φ = 11496038400.

The previous prime is 53668270603. The next prime is 53668270657. The reversal of 53668270656 is 65607286635.

It is a happy number.

53668270656 is a `hidden beast` number, since 5 + 366 + 8 + 270 + 6 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (53668270657) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 755891101 + ... + 755891171.

It is an arithmetic number, because the mean of its divisors is an integer number (131673600).

Almost surely, 2^53668270656 is an apocalyptic number.

53668270656 is a gapful number since it is divisible by the number (56) 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 53668270656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117979545600).

53668270656 is an abundant number, since it is smaller than the sum of its proper divisors (182290820544).

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

53668270656 is a wasteful number, since it uses less digits than its factorization.

53668270656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 53668270656 in words is "fifty-three billion, six hundred sixty-eight million, two hundred seventy thousand, six hundred fifty-six".