54960494400 has 504 divisors, whose sum is σ = 235006774080. Its totient is φ = 11900805120.

The previous prime is 54960494359. The next prime is 54960494423. The reversal of 54960494400 is 449406945.

54960494400 is a `hidden beast` number, since 549 + 60 + 4 + 9 + 4 + 40 + 0 = 666.

54960494400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (504).

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1900852 + ... + 1929548.

Almost surely, 2^54960494400 is an apocalyptic number.

54960494400 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 54960494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117503387040).

54960494400 is an abundant number, since it is smaller than the sum of its proper divisors (180046279680).

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

54960494400 is a wasteful number, since it uses less digits than its factorization.

54960494400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28751 (or 28733 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 54960494400 in words is "fifty-four billion, nine hundred sixty million, four hundred ninety-four thousand, four hundred".