54894821990400 has 2688 divisors, whose sum is σ = 238318389504000. Its totient is φ = 12381349478400.

The previous prime is 54894821990399. The next prime is 54894821990443. The reversal of 54894821990400 is 409912849845.

54894821990400 is a `hidden beast` number, since 5 + 4 + 8 + 9 + 4 + 8 + 219 + 9 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 195355238260 + ... + 195355238540.

Almost surely, 2^{54894821990400} is an apocalyptic number.

54894821990400 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 54894821990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119159194752000).

54894821990400 is an abundant number, since it is smaller than the sum of its proper divisors (183423567513600).

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

54894821990400 is a wasteful number, since it uses less digits than its factorization.

54894821990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 54894821990400 in words is "fifty-four trillion, eight hundred ninety-four billion, eight hundred twenty-one million, nine hundred ninety thousand, four hundred".