53077761589248 has 1056 divisors, whose sum is σ = 177081459394560. Its totient is φ = 15695924428800.

The previous prime is 53077761589183. The next prime is 53077761589267. The reversal of 53077761589248 is 84298516777035.

53077761589248 is a `hidden beast` number, since 5 + 30 + 7 + 7 + 7 + 6 + 1 + 589 + 2 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 417935130561 + ... + 417935130687.

It is a 2-persistent number, because it is pandigital, and so is 2⋅53077761589248 = 106155523178496, but 3⋅53077761589248 = 159233284767744 is not.

Almost surely, 2^{53077761589248} 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 53077761589248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88540729697280).

53077761589248 is an abundant number, since it is smaller than the sum of its proper divisors (124003697805312).

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

53077761589248 is an frugal number, since it uses more digits than its factorization.

53077761589248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 711244800, while the sum is 72.

The spelling of 53077761589248 in words is "fifty-three trillion, seventy-seven billion, seven hundred sixty-one million, five hundred eighty-nine thousand, two hundred forty-eight".