53634723256576 has 576 divisors, whose sum is σ = 141701167964160. Its totient is φ = 19651129344000.

The previous prime is 53634723256549. The next prime is 53634723256613. The reversal of 53634723256576 is 67565232743635.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5669028486 + ... + 5669037946.

It is an arithmetic number, because the mean of its divisors is an integer number (246008972160).

Almost surely, 2^{53634723256576} is an apocalyptic number.

53634723256576 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 53634723256576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70850583982080).

53634723256576 is an abundant number, since it is smaller than the sum of its proper divisors (88066444707584).

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

53634723256576 is a wasteful number, since it uses less digits than its factorization.

53634723256576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9782 (or 9768 counting only the distinct ones).

The product of its digits is 571536000, while the sum is 64.

The spelling of 53634723256576 in words is "fifty-three trillion, six hundred thirty-four billion, seven hundred twenty-three million, two hundred fifty-six thousand, five hundred seventy-six".