55797314457600 has 1053 divisors, whose sum is σ = 207334870052817. Its totient is φ = 14341939200000.

The previous prime is 55797314457587. The next prime is 55797314457617. The reversal of 55797314457600 is 675441379755.

The square root of 55797314457600 is 7469760.

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

55797314457600 is a `hidden beast` number, since 5 + 5 + 7 + 9 + 7 + 3 + 14 + 4 + 5 + 7 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20087033204736 + 35710281252864 = 4481856^2 + 5975808^2 .

It is a super-2 number, since 2×55797314457600² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 222300057475 + ... + 222300057725.

Almost surely, 2^{55797314457600} is an apocalyptic number.

55797314457600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

55797314457600 is the 7469760-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55797314457600

55797314457600 is an abundant number, since it is smaller than the sum of its proper divisors (151537555595217).

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

55797314457600 is an equidigital number, since it uses as much as digits as its factorization.

55797314457600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 111132000, while the sum is 63.

The spelling of 55797314457600 in words is "fifty-five trillion, seven hundred ninety-seven billion, three hundred fourteen million, four hundred fifty-seven thousand, six hundred".