53972130240 has 336 divisors, whose sum is σ = 216169207488. Its totient is φ = 12103483392.

The previous prime is 53972130239. The next prime is 53972130253. The reversal of 53972130240 is 4203127935.

53972130240 is a `hidden beast` number, since 5 + 397 + 21 + 3 + 0 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a junction number, because it is equal to n+sod(n) for n = 53972130195 and 53972130204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1043224 + ... + 1093736.

Almost surely, 2^53972130240 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 53972130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108084603744).

53972130240 is an abundant number, since it is smaller than the sum of its proper divisors (162197077248).

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

53972130240 is a wasteful number, since it uses less digits than its factorization.

53972130240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50596 (or 50583 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 53972130240 in words is "fifty-three billion, nine hundred seventy-two million, one hundred thirty thousand, two hundred forty".