54769612800 has 864 divisors, whose sum is σ = 222285772800. Its totient is φ = 11828920320.

The previous prime is 54769612771. The next prime is 54769612823. The reversal of 54769612800 is 821696745.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 54769612800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 143001409 + ... + 143001791.

It is an arithmetic number, because the mean of its divisors is an integer number (257275200).

Almost surely, 2^54769612800 is an apocalyptic number.

54769612800 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 54769612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111142886400).

54769612800 is an abundant number, since it is smaller than the sum of its proper divisors (167516160000).

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

54769612800 is a wasteful number, since it uses less digits than its factorization.

54769612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 54769612800 in words is "fifty-four billion, seven hundred sixty-nine million, six hundred twelve thousand, eight hundred".