53938690560 has 480 divisors, whose sum is σ = 200044196352. Its totient is φ = 13914685440.

The previous prime is 53938690543. The next prime is 53938690627. The reversal of 53938690560 is 6509683935.

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

It is a super-2 number, since 2×53938690560² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 53938690497 and 53938690506.

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, 19283082 + ... + 19285878.

Almost surely, 2^53938690560 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 53938690560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100022098176).

53938690560 is an abundant number, since it is smaller than the sum of its proper divisors (146105505792).

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

53938690560 is an equidigital number, since it uses as much as digits as its factorization.

53938690560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2866 (or 2838 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 53938690560 in words is "fifty-three billion, nine hundred thirty-eight million, six hundred ninety thousand, five hundred sixty".