54129549772800 has 864 divisors, whose sum is σ = 201003762435840. Its totient is φ = 13906545868800.

The previous prime is 54129549772763. The next prime is 54129549772801. The reversal of 54129549772800 is 827794592145.

54129549772800 is a `hidden beast` number, since 5 + 4 + 1 + 2 + 9 + 549 + 7 + 7 + 2 + 80 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (54129549772801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3242641254 + ... + 3242657946.

It is an arithmetic number, because the mean of its divisors is an integer number (232643243560).

Almost surely, 2^{54129549772800} is an apocalyptic number.

54129549772800 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 54129549772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100501881217920).

54129549772800 is an abundant number, since it is smaller than the sum of its proper divisors (146874212663040).

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

54129549772800 is a wasteful number, since it uses less digits than its factorization.

54129549772800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16989 (or 16961 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 54129549772800 in words is "fifty-four trillion, one hundred twenty-nine billion, five hundred forty-nine million, seven hundred seventy-two thousand, eight hundred".