53419501440 has 192 divisors, whose sum is σ = 185794081200. Its totient is φ = 14142504960.

The previous prime is 53419501423. The next prime is 53419501469. The reversal of 53419501440 is 4410591435.

It is a happy number.

53419501440 is a `hidden beast` number, since 53 + 419 + 50 + 144 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 53419501395 and 53419501404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 767280 + ... + 834000.

Almost surely, 2^53419501440 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 53419501440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92897040600).

53419501440 is an abundant number, since it is smaller than the sum of its proper divisors (132374579760).

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

53419501440 is a wasteful number, since it uses less digits than its factorization.

53419501440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66885 (or 66870 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 53419501440 in words is "fifty-three billion, four hundred nineteen million, five hundred one thousand, four hundred forty".