12553019064576 has 243 divisors, whose sum is σ = 36466649047647. Its totient is φ = 4152991011840.

The previous prime is 12553019064563. The next prime is 12553019064583. The reversal of 12553019064576 is 67546091035521.

The square root of 12553019064576 is 3543024.

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

12553019064576 is a `hidden beast` number, since 1 + 2 + 5 + 5 + 3 + 0 + 1 + 9 + 0 + 64 + 576 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 37924528731 + ... + 37924529061.

Almost surely, 2^{12553019064576} is an apocalyptic number.

12553019064576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12553019064576 is the 3543024-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12553019064576

12553019064576 is an abundant number, since it is smaller than the sum of its proper divisors (23913629983071).

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

12553019064576 is an frugal number, since it uses more digits than its factorization.

12553019064576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 12553019064576 in words is "twelve trillion, five hundred fifty-three billion, nineteen million, sixty-four thousand, five hundred seventy-six".