54948973363200 has 3240 divisors, whose sum is σ = 245668121567232. Its totient is φ = 11919092613120.

The previous prime is 54948973363169. The next prime is 54948973363201. The reversal of 54948973363200 is 236337984945.

54948973363200 is a `hidden beast` number, since 5 + 4 + 9 + 4 + 8 + 97 + 336 + 3 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

It is a super-2 number, since 2×54948973363200² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54948973363201) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 432669081537 + ... + 432669081663.

Almost surely, 2^{54948973363200} is an apocalyptic number.

54948973363200 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 54948973363200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122834060783616).

54948973363200 is an abundant number, since it is smaller than the sum of its proper divisors (190719148204032).

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

54948973363200 is an frugal number, since it uses more digits than its factorization.

54948973363200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 63.

The spelling of 54948973363200 in words is "fifty-four trillion, nine hundred forty-eight billion, nine hundred seventy-three million, three hundred sixty-three thousand, two hundred".