54960638400 has 210 divisors, whose sum is σ = 202021958160. Its totient is φ = 14656135680.

The previous prime is 54960638351. The next prime is 54960638413. The reversal of 54960638400 is 483606945.

54960638400 is a `hidden beast` number, since 5 + 4 + 9 + 6 + 0 + 638 + 4 + 0 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 82440 + ... + 341639.

Almost surely, 2^54960638400 is an apocalyptic number.

54960638400 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 54960638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101010979080).

54960638400 is an abundant number, since it is smaller than the sum of its proper divisors (147061319760).

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

54960638400 is a wasteful number, since it uses less digits than its factorization.

54960638400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424113 (or 424089 counting only the distinct ones).

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

The spelling of 54960638400 in words is "fifty-four billion, nine hundred sixty million, six hundred thirty-eight thousand, four hundred".