54960730675200 has 3168 divisors, whose sum is σ = 242868228876000. Its totient is φ = 12325425315840.

The previous prime is 54960730675199. The next prime is 54960730675313. The reversal of 54960730675200 is 257603706945.

54960730675200 is a `hidden beast` number, since 5 + 4 + 9 + 60 + 7 + 306 + 75 + 200 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 263 ways as a sum of consecutive naturals, for example, 1036994918374 + ... + 1036994918426.

Almost surely, 2^{54960730675200} is an apocalyptic number.

54960730675200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54960730675200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121434114438000).

54960730675200 is an abundant number, since it is smaller than the sum of its proper divisors (187907498200800).

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

54960730675200 is an frugal number, since it uses more digits than its factorization.

54960730675200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 54960730675200 in words is "fifty-four trillion, nine hundred sixty billion, seven hundred thirty million, six hundred seventy-five thousand, two hundred".