54960871873600 has 1701 divisors, whose sum is σ = 181271584790751. Its totient is φ = 16340672409600.

The previous prime is 54960871873577. The next prime is 54960871873679. The reversal of 54960871873600 is 637817806945.

The square root of 54960871873600 is 7413560.

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

54960871873600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 755466918976 + 54205404954624 = 869176^2 + 7362432^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 662179179159 + ... + 662179179241.

Almost surely, 2^{54960871873600} is an apocalyptic number.

54960871873600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

54960871873600 is the 7413560-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54960871873600

54960871873600 is an abundant number, since it is smaller than the sum of its proper divisors (126310712917151).

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

54960871873600 is a wasteful number, since it uses less digits than its factorization.

54960871873600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 64.

54960871873600 divided by its sum of digits (64) gives a square (858763623025 = 926695²).

The spelling of 54960871873600 in words is "fifty-four trillion, nine hundred sixty billion, eight hundred seventy-one million, eight hundred seventy-three thousand, six hundred".