54061314969600 has 2457 divisors, whose sum is σ = 215942443065363. Its totient is φ = 13416862187520.

The previous prime is 54061314969589. The next prime is 54061314969617. The reversal of 54061314969600 is 696941316045.

It is a happy number.

The square root of 54061314969600 is 7352640.

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

54061314969600 is a `hidden beast` number, since 5 + 4 + 0 + 6 + 13 + 14 + 9 + 6 + 9 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5132073406464 + 48929241563136 = 2265408^2 + 6994944^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 1461116620782 + ... + 1461116620818.

Almost surely, 2^{54061314969600} is an apocalyptic number.

54061314969600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

54061314969600 is the 7352640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54061314969600

54061314969600 is an abundant number, since it is smaller than the sum of its proper divisors (161881128095763).

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

54061314969600 is an frugal number, since it uses more digits than its factorization.

54061314969600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 54061314969600 in words is "fifty-four trillion, sixty-one billion, three hundred fourteen million, nine hundred sixty-nine thousand, six hundred".