54770654400000 has 3840 divisors, whose sum is σ = 251887398174720. Its totient is φ = 10218700800000.

The previous prime is 54770654399999. The next prime is 54770654400043. The reversal of 54770654400000 is 445607745.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 144513599811 + ... + 144513600189.

It is an arithmetic number, because the mean of its divisors is an integer number (65595676608).

Almost surely, 2^{54770654400000} is an apocalyptic number.

54770654400000 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 54770654400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125943699087360).

54770654400000 is an abundant number, since it is smaller than the sum of its proper divisors (197116743774720).

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

54770654400000 is a wasteful number, since it uses less digits than its factorization.

54770654400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 42.

The spelling of 54770654400000 in words is "fifty-four trillion, seven hundred seventy billion, six hundred fifty-four million, four hundred thousand".