54979849579200 has 1344 divisors, whose sum is σ = 227022184316928. Its totient is φ = 11338677043200.

The previous prime is 54979849579147. The next prime is 54979849579201. The reversal of 54979849579200 is 297594897945.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (78).

It is not an unprimeable number, because it can be changed into a prime (54979849579201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24040160457 + ... + 24040162743.

It is an arithmetic number, because the mean of its divisors is an integer number (168915315712).

Almost surely, 2^{54979849579200} is an apocalyptic number.

54979849579200 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 54979849579200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113511092158464).

54979849579200 is an abundant number, since it is smaller than the sum of its proper divisors (172042334737728).

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

54979849579200 is a wasteful number, since it uses less digits than its factorization.

54979849579200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3550 (or 3535 counting only the distinct ones).

The product of its (nonzero) digits is 2057529600, while the sum is 78.

The spelling of 54979849579200 in words is "fifty-four trillion, nine hundred seventy-nine billion, eight hundred forty-nine million, five hundred seventy-nine thousand, two hundred".