53709225436440 has 2304 divisors, whose sum is σ = 229910952960000. Its totient is φ = 11243987758080.

The previous prime is 53709225436423. The next prime is 53709225436457. The reversal of 53709225436440 is 4463452290735.

53709225436440 is a `hidden beast` number, since 5 + 3 + 7 + 0 + 92 + 2 + 543 + 6 + 4 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (53709225436423) and next prime (53709225436457).

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 575 ways as a sum of consecutive naturals, for example, 53019965374 + ... + 53019966386.

It is an arithmetic number, because the mean of its divisors is an integer number (99787740000).

Almost surely, 2^{53709225436440} 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 53709225436440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114955476480000).

53709225436440 is an abundant number, since it is smaller than the sum of its proper divisors (176201727523560).

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

53709225436440 is a wasteful number, since it uses less digits than its factorization.

53709225436440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 54.

The spelling of 53709225436440 in words is "fifty-three trillion, seven hundred nine billion, two hundred twenty-five million, four hundred thirty-six thousand, four hundred forty".