53893002240 has 1408 divisors, whose sum is σ = 245624279040. Its totient is φ = 10882252800.

The previous prime is 53893002211. The next prime is 53893002277. The reversal of 53893002240 is 4220039835.

53893002240 is a `hidden beast` number, since 5 + 389 + 30 + 0 + 2 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

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 = 53893002195 and 53893002204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 649313239 + ... + 649313321.

Almost surely, 2^53893002240 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 53893002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122812139520).

53893002240 is an abundant number, since it is smaller than the sum of its proper divisors (191731276800).

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

53893002240 is a wasteful number, since it uses less digits than its factorization.

53893002240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 53893002240 in words is "fifty-three billion, eight hundred ninety-three million, two thousand, two hundred forty".