53824668045408 has 2304 divisors, whose sum is σ = 191379776716800. Its totient is φ = 14654492835840.

The previous prime is 53824668045391. The next prime is 53824668045481. The reversal of 53824668045408 is 80454086642835.

53824668045408 is a `hidden beast` number, since 5 + 3 + 8 + 2 + 4 + 6 + 6 + 80 + 4 + 540 + 8 = 666.

It is a super-2 number, since 2×53824668045408² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 342832280466 + ... + 342832280622.

It is an arithmetic number, because the mean of its divisors is an integer number (83064139200).

Almost surely, 2^{53824668045408} 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 53824668045408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95689888358400).

53824668045408 is an abundant number, since it is smaller than the sum of its proper divisors (137555108671392).

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

53824668045408 is a wasteful number, since it uses less digits than its factorization.

53824668045408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 176947200, while the sum is 63.

The spelling of 53824668045408 in words is "fifty-three trillion, eight hundred twenty-four billion, six hundred sixty-eight million, forty-five thousand, four hundred eight".