53642413000 has 256 divisors, whose sum is σ = 141054151680. Its totient is φ = 18928000000.

The previous prime is 53642412937. The next prime is 53642413079. The reversal of 53642413000 is 31424635.

53642413000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 53642413000.

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, 58882545 + ... + 58883455.

It is an arithmetic number, because the mean of its divisors is an integer number (550992780).

Almost surely, 2^53642413000 is an apocalyptic number.

53642413000 is a gapful number since it is divisible by the number (50) 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 53642413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70527075840).

53642413000 is an abundant number, since it is smaller than the sum of its proper divisors (87411738680).

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

53642413000 is a wasteful number, since it uses less digits than its factorization.

53642413000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 53642413000 its reverse (31424635), we get a palindrome (53673837635).

The spelling of 53642413000 in words is "fifty-three billion, six hundred forty-two million, four hundred thirteen thousand".