53135622540 has 1440 divisors, whose sum is σ = 236707688448. Its totient is φ = 9797760000.

The previous prime is 53135622523. The next prime is 53135622541. The reversal of 53135622540 is 4522653135.

53135622540 is a `hidden beast` number, since 5 + 31 + 3 + 562 + 25 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 53135622495 and 53135622504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53135622541) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 351891465 + ... + 351891615.

Almost surely, 2^53135622540 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 53135622540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118353844224).

53135622540 is an abundant number, since it is smaller than the sum of its proper divisors (183572065908).

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

53135622540 is a wasteful number, since it uses less digits than its factorization.

53135622540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 53135622540 in words is "fifty-three billion, one hundred thirty-five million, six hundred twenty-two thousand, five hundred forty".