53759946240 has 2400 divisors, whose sum is σ = 270258889824. Its totient is φ = 10032906240.

The previous prime is 53759946197. The next prime is 53759946257. The reversal of 53759946240 is 4264995735.

53759946240 is a `hidden beast` number, since 5 + 3 + 7 + 5 + 9 + 9 + 4 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1452971502 + ... + 1452971538.

Almost surely, 2^53759946240 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 53759946240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135129444912).

53759946240 is an abundant number, since it is smaller than the sum of its proper divisors (216498943584).

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

53759946240 is a wasteful number, since it uses less digits than its factorization.

53759946240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

It can be divided in two parts, 53759 and 946240, that added together give a palindrome (999999).

The spelling of 53759946240 in words is "fifty-three billion, seven hundred fifty-nine million, nine hundred forty-six thousand, two hundred forty".