53975040 has 192 divisors, whose sum is σ = 198132480. Its totient is φ = 12288000.

The previous prime is 53975027. The next prime is 53975059. The reversal of 53975040 is 4057935.

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

It is a junction number, because it is equal to n+sod(n) for n = 53974992 and 53975010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214915 + ... + 215165.

It is an arithmetic number, because the mean of its divisors is an integer number (1031940).

Almost surely, 2^53975040 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 53975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99066240).

53975040 is an abundant number, since it is smaller than the sum of its proper divisors (144157440).

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

53975040 is a wasteful number, since it uses less digits than its factorization.

53975040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 33.

The square root of 53975040 is about 7346.7707191663. The cubic root of 53975040 is about 377.9180696427.

The spelling of 53975040 in words is "fifty-three million, nine hundred seventy-five thousand, forty".