53680026240 has 512 divisors, whose sum is σ = 197248089600. Its totient is φ = 13785956352.

The previous prime is 53680026193. The next prime is 53680026247. The reversal of 53680026240 is 4262008635.

53680026240 is a `hidden beast` number, since 536 + 80 + 0 + 2 + 6 + 2 + 40 = 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 = 53680026195 and 53680026204.

It is not an unprimeable number, because it can be changed into a prime (53680026247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72247309 + ... + 72248051.

It is an arithmetic number, because the mean of its divisors is an integer number (385250175).

Almost surely, 2^53680026240 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 53680026240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98624044800).

53680026240 is an abundant number, since it is smaller than the sum of its proper divisors (143568063360).

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

53680026240 is a wasteful number, since it uses less digits than its factorization.

53680026240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 53680026240 in words is "fifty-three billion, six hundred eighty million, twenty-six thousand, two hundred forty".