53685102240 has 960 divisors, whose sum is σ = 246590023680. Its totient is φ = 10665768960.

The previous prime is 53685102239. The next prime is 53685102257. The reversal of 53685102240 is 4220158635.

53685102240 is a `hidden beast` number, since 5 + 368 + 51 + 0 + 2 + 240 = 666.

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 = 53685102195 and 53685102204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 22950991 + ... + 22953329.

It is an arithmetic number, because the mean of its divisors is an integer number (256864608).

Almost surely, 2^53685102240 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 53685102240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123295011840).

53685102240 is an abundant number, since it is smaller than the sum of its proper divisors (192904921440).

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

53685102240 is a wasteful number, since it uses less digits than its factorization.

53685102240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2407 (or 2390 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 53685102240 in words is "fifty-three billion, six hundred eighty-five million, one hundred two thousand, two hundred forty".