55419281064 has 384 divisors, whose sum is σ = 182108160000. Its totient is φ = 15202857600.

The previous prime is 55419281051. The next prime is 55419281077. The reversal of 55419281064 is 46018291455.

55419281064 is a `hidden beast` number, since 5 + 541 + 92 + 8 + 10 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (55419281051) and next prime (55419281077).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 146224827 + ... + 146225205.

It is an arithmetic number, because the mean of its divisors is an integer number (474240000).

Almost surely, 2^55419281064 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 55419281064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91054080000).

55419281064 is an abundant number, since it is smaller than the sum of its proper divisors (126688878936).

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

55419281064 is a wasteful number, since it uses less digits than its factorization.

55419281064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 55419281064 in words is "fifty-five billion, four hundred nineteen million, two hundred eighty-one thousand, sixty-four".