53360497868288 has 320 divisors, whose sum is σ = 122907233433600. Its totient is φ = 22955630100480.

The previous prime is 53360497868269. The next prime is 53360497868309. The reversal of 53360497868288 is 88286879406335.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2507178095 + ... + 2507199377.

It is an arithmetic number, because the mean of its divisors is an integer number (384085104480).

Almost surely, 2^{53360497868288} is an apocalyptic number.

53360497868288 is a gapful number since it is divisible by the number (58) 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 53360497868288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61453616716800).

53360497868288 is an abundant number, since it is smaller than the sum of its proper divisors (69546735565312).

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

53360497868288 is a wasteful number, since it uses less digits than its factorization.

53360497868288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21793 (or 21777 counting only the distinct ones).

The product of its (nonzero) digits is 3344302080, while the sum is 77.

The spelling of 53360497868288 in words is "fifty-three trillion, three hundred sixty billion, four hundred ninety-seven million, eight hundred sixty-eight thousand, two hundred eighty-eight".