53835632640 has 1040 divisors, whose sum is σ = 215792615808. Its totient is φ = 12768509952.

The previous prime is 53835632621. The next prime is 53835632647. The reversal of 53835632640 is 4623653835.

53835632640 is a `hidden beast` number, since 5 + 3 + 8 + 3 + 5 + 632 + 6 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (53835632647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 648622039 + ... + 648622121.

Almost surely, 2^53835632640 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 53835632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107896307904).

53835632640 is an abundant number, since it is smaller than the sum of its proper divisors (161956983168).

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

53835632640 is a wasteful number, since it uses less digits than its factorization.

53835632640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 53835632640 in words is "fifty-three billion, eight hundred thirty-five million, six hundred thirty-two thousand, six hundred forty".