53135658240 has 576 divisors, whose sum is σ = 200167317504. Its totient is φ = 11761680384.

The previous prime is 53135658223. The next prime is 53135658293. The reversal of 53135658240 is 4285653135.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 53135658192 and 53135658201.

It is a congruent number.

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, 173080167 + ... + 173080473.

It is an arithmetic number, because the mean of its divisors is an integer number (347512704).

Almost surely, 2^53135658240 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 53135658240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100083658752).

53135658240 is an abundant number, since it is smaller than the sum of its proper divisors (147031659264).

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

53135658240 is a wasteful number, since it uses less digits than its factorization.

53135658240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 53135658240 in words is "fifty-three billion, one hundred thirty-five million, six hundred fifty-eight thousand, two hundred forty".