53649677376 has 105 divisors (see below), whose sum is σ = 159083901669. Its totient is φ = 17877666816.

The previous prime is 53649677363. The next prime is 53649677381. The reversal of 53649677376 is 67377694635.

The square root of 53649677376 is 231624.

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

53649677376 is a `hidden beast` number, since 5 + 3 + 6 + 496 + 7 + 73 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 48382401600 + 5267275776 = 219960^2 + 72576^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 16675320 + ... + 16678536.

Almost surely, 2^53649677376 is an apocalyptic number.

53649677376 is the 231624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53649677376

53649677376 is an abundant number, since it is smaller than the sum of its proper divisors (105434224293).

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

53649677376 is an frugal number, since it uses more digits than its factorization.

53649677376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6458 (or 3222 counting only the distinct ones).

The product of its digits is 120022560, while the sum is 63.

It can be divided in two parts, 53649 and 677376, that added together give a square (731025 = 855²).

The spelling of 53649677376 in words is "fifty-three billion, six hundred forty-nine million, six hundred seventy-seven thousand, three hundred seventy-six".