653815090656 has 1536 divisors, whose sum is σ = 2575112601600. Its totient is φ = 156674580480.

The previous prime is 653815090613. The next prime is 653815090703. The reversal of 653815090656 is 656090518356.

It is a happy number.

653815090656 is a `hidden beast` number, since 6 + 5 + 3 + 81 + 509 + 0 + 6 + 56 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5998303530 + ... + 5998303638.

It is an arithmetic number, because the mean of its divisors is an integer number (1676505600).

Almost surely, 2^653815090656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 653815090656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287556300800).

653815090656 is an abundant number, since it is smaller than the sum of its proper divisors (1921297510944).

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

653815090656 is a wasteful number, since it uses less digits than its factorization.

653815090656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 653815090656 in words is "six hundred fifty-three billion, eight hundred fifteen million, ninety thousand, six hundred fifty-six".