54400786560 has 192 divisors, whose sum is σ = 188060984280. Its totient is φ = 14490796032.

The previous prime is 54400786541. The next prime is 54400786579. The reversal of 54400786560 is 6568700445.

54400786560 is a `hidden beast` number, since 5 + 4 + 4 + 0 + 0 + 7 + 86 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (54400786541) and next prime (54400786579).

It can be written as a sum of positive squares in 4 ways, for example, as 54274089024 + 126697536 = 232968^2 + 11256^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5737984 + ... + 5747456.

Almost surely, 2^54400786560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54400786560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94030492140).

54400786560 is an abundant number, since it is smaller than the sum of its proper divisors (133660197720).

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

54400786560 is a wasteful number, since it uses less digits than its factorization.

54400786560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10495 (or 10480 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 54400786560 in words is "fifty-four billion, four hundred million, seven hundred eighty-six thousand, five hundred sixty".