53958144240 has 960 divisors, whose sum is σ = 245294300160. Its totient is φ = 10326251520.

The previous prime is 53958144239. The next prime is 53958144241. The reversal of 53958144240 is 4244185935.

53958144240 is a `hidden beast` number, since 5 + 3 + 9 + 581 + 44 + 24 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (53958144239) and next prime (53958144241).

It is a super-2 number, since 2×53958144240² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53958144241) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 121801459 + ... + 121801901.

It is an arithmetic number, because the mean of its divisors is an integer number (255514896).

Almost surely, 2^53958144240 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 53958144240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122647150080).

53958144240 is an abundant number, since it is smaller than the sum of its proper divisors (191336155920).

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

53958144240 is a wasteful number, since it uses less digits than its factorization.

53958144240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 53958144240 in words is "fifty-three billion, nine hundred fifty-eight million, one hundred forty-four thousand, two hundred forty".