54929145600 has 540 divisors, whose sum is σ = 232127424144. Its totient is φ = 12554403840.

The previous prime is 54929145599. The next prime is 54929145641. The reversal of 54929145600 is 654192945.

54929145600 is a `hidden beast` number, since 5 + 4 + 9 + 29 + 14 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×54929145600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3621232 + ... + 3636368.

Almost surely, 2^54929145600 is an apocalyptic number.

54929145600 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 54929145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116063712072).

54929145600 is an abundant number, since it is smaller than the sum of its proper divisors (177198278544).

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

54929145600 is a wasteful number, since it uses less digits than its factorization.

54929145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15182 (or 15154 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 54929145600 in words is "fifty-four billion, nine hundred twenty-nine million, one hundred forty-five thousand, six hundred".