53313634440 has 384 divisors, whose sum is σ = 200208153600. Its totient is φ = 12168092160.

The previous prime is 53313634433. The next prime is 53313634487. The reversal of 53313634440 is 4443631335.

53313634440 is a `hidden beast` number, since 5 + 3 + 3 + 13 + 634 + 4 + 4 + 0 = 666.

It is a super-2 number, since 2×53313634440² (a number of 22 digits) contains 22 as substring.

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 = 53313634395 and 53313634404.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12562959 + ... + 12567201.

It is an arithmetic number, because the mean of its divisors is an integer number (521375400).

Almost surely, 2^53313634440 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 53313634440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100104076800).

53313634440 is an abundant number, since it is smaller than the sum of its proper divisors (146894519160).

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

53313634440 is a wasteful number, since it uses less digits than its factorization.

53313634440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4457 (or 4450 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

The spelling of 53313634440 in words is "fifty-three billion, three hundred thirteen million, six hundred thirty-four thousand, four hundred forty".