53648649331200 has 2160 divisors, whose sum is σ = 241891480871040. Its totient is φ = 11115026841600.

The previous prime is 53648649331159. The next prime is 53648649331241. The reversal of 53648649331200 is 213394684635.

53648649331200 is a `hidden beast` number, since 5 + 3 + 6 + 48 + 64 + 9 + 331 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (53648649331159) and next prime (53648649331241).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 47518732236 + ... + 47518733364.

Almost surely, 2^{53648649331200} is an apocalyptic number.

53648649331200 is a gapful number since it is divisible by the number (50) 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 53648649331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120945740435520).

53648649331200 is an abundant number, since it is smaller than the sum of its proper divisors (188242831539840).

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

53648649331200 is a wasteful number, since it uses less digits than its factorization.

53648649331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 53648649331200 in words is "fifty-three trillion, six hundred forty-eight billion, six hundred forty-nine million, three hundred thirty-one thousand, two hundred".