53983734336 has 315 divisors, whose sum is σ = 186555856377. Its totient is φ = 15390466560.

The previous prime is 53983734313. The next prime is 53983734341. The reversal of 53983734336 is 63343738935.

The square root of 53983734336 is 232344.

It is a perfect power (a square), and thus also a powerful number.

53983734336 is a `hidden beast` number, since 53 + 98 + 3 + 73 + 433 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17303823936 + 36679910400 = 131544^2 + 191520^2 .

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

Its product of digits (14696640) is a multiple of the sum of its prime factors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 117101146 + ... + 117101606.

Almost surely, 2^53983734336 is an apocalyptic number.

53983734336 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

53983734336 is the 232344-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53983734336

53983734336 is an abundant number, since it is smaller than the sum of its proper divisors (132572122041).

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

53983734336 is an frugal number, since it uses more digits than its factorization.

53983734336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 473 counting only the distinct ones).

The product of its digits is 14696640, while the sum is 54.

The spelling of 53983734336 in words is "fifty-three billion, nine hundred eighty-three million, seven hundred thirty-four thousand, three hundred thirty-six".