54979506691200 has 4608 divisors, whose sum is σ = 265610124864000. Its totient is φ = 11052546785280.

The previous prime is 54979506691199. The next prime is 54979506691231. The reversal of 54979506691200 is 219660597945.

54979506691200 is a `hidden beast` number, since 5 + 49 + 7 + 9 + 506 + 69 + 1 + 20 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 213928041472 + ... + 213928041728.

It is an arithmetic number, because the mean of its divisors is an integer number (57641086125).

Almost surely, 2^{54979506691200} is an apocalyptic number.

54979506691200 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 54979506691200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132805062432000).

54979506691200 is an abundant number, since it is smaller than the sum of its proper divisors (210630618172800).

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

54979506691200 is a wasteful number, since it uses less digits than its factorization.

54979506691200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 63.

The spelling of 54979506691200 in words is "fifty-four trillion, nine hundred seventy-nine billion, five hundred six million, six hundred ninety-one thousand, two hundred".