53209093998240 has 480 divisors, whose sum is σ = 195653060596224. Its totient is φ = 13603037460480.

The previous prime is 53209093998223. The next prime is 53209093998289. The reversal of 53209093998240 is 4289939090235.

53209093998240 is a `hidden beast` number, since 532 + 0 + 9 + 0 + 9 + 3 + 9 + 98 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×53209093998240² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 42369442 + ... + 43607198.

Almost surely, 2^{53209093998240} 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 53209093998240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97826530298112).

53209093998240 is an abundant number, since it is smaller than the sum of its proper divisors (142443966597984).

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

53209093998240 is a wasteful number, since it uses less digits than its factorization.

53209093998240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237922 (or 1237905 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 63.

The spelling of 53209093998240 in words is "fifty-three trillion, two hundred nine billion, ninety-three million, nine hundred ninety-eight thousand, two hundred forty".