53395776 has 336 divisors, whose sum is σ = 199704960. Its totient is φ = 13271040.

The previous prime is 53395739. The next prime is 53395781. The reversal of 53395776 is 67759335.

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

It is a super-2 number, since 2×53395776² = 5702217789284352, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1302316 + ... + 1302356.

It is an arithmetic number, because the mean of its divisors is an integer number (594360).

Almost surely, 2^53395776 is an apocalyptic number.

53395776 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53395776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99852480).

53395776 is an abundant number, since it is smaller than the sum of its proper divisors (146309184).

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

53395776 is a wasteful number, since it uses less digits than its factorization.

53395776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 89 counting only the distinct ones).

The product of its digits is 595350, while the sum is 45.

The square root of 53395776 is about 7307.2413399312. The cubic root of 53395776 is about 376.5612562564.

The spelling of 53395776 in words is "fifty-three million, three hundred ninety-five thousand, seven hundred seventy-six".