53651140508160 has 800 divisors, whose sum is σ = 208842785862480. Its totient is φ = 13085202972672.

The previous prime is 53651140508087. The next prime is 53651140508167. The reversal of 53651140508160 is 6180504115635.

It is a happy number.

53651140508160 is a `hidden beast` number, since 5 + 3 + 6 + 511 + 4 + 0 + 50 + 81 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 22865687748864 + 30785452759296 = 4781808^2 + 5548464^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (53651140508167) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 293737824 + ... + 293920416.

Almost surely, 2^{53651140508160} 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 53651140508160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104421392931240).

53651140508160 is an abundant number, since it is smaller than the sum of its proper divisors (155191645354320).

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

53651140508160 is a wasteful number, since it uses less digits than its factorization.

53651140508160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182750 (or 182725 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 53651140508160 in words is "fifty-three trillion, six hundred fifty-one billion, one hundred forty million, five hundred eight thousand, one hundred sixty".