63097603560000 has 735 divisors, whose sum is σ = 234744594280383. Its totient is φ = 16814589120000.

The previous prime is 63097603559971. The next prime is 63097603560007. The reversal of 63097603560000 is 6530679036.

The square root of 63097603560000 is 7943400.

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

63097603560000 is a `hidden beast` number, since 6 + 3 + 0 + 9 + 7 + 6 + 0 + 35 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4946852119104 + 58150751440896 = 2224152^2 + 7625664^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (63097603560007) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 42894359265 + ... + 42894360735.

Almost surely, 2^{63097603560000} is an apocalyptic number.

63097603560000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

63097603560000 is the 7943400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63097603560000

63097603560000 is an abundant number, since it is smaller than the sum of its proper divisors (171646990720383).

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

63097603560000 is an frugal number, since it uses more digits than its factorization.

63097603560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2992 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The spelling of 63097603560000 in words is "sixty-three trillion, ninety-seven billion, six hundred three million, five hundred sixty thousand".