55859086264464 has 1200 divisors, whose sum is σ = 210053780608320. Its totient is φ = 14200324669440.

The previous prime is 55859086264463. The next prime is 55859086264511. The reversal of 55859086264464 is 46446268095855.

55859086264464 is a `hidden beast` number, since 5 + 5 + 8 + 590 + 8 + 6 + 26 + 4 + 4 + 6 + 4 = 666.

55859086264464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 55859086264392 and 55859086264401.

It is not an unprimeable number, because it can be changed into a prime (55859086264463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 10686641019 + ... + 10686646245.

Almost surely, 2^{55859086264464} is an apocalyptic number.

55859086264464 is a gapful number since it is divisible by the number (54) 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 55859086264464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105026890304160).

55859086264464 is an abundant number, since it is smaller than the sum of its proper divisors (154194694343856).

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

55859086264464 is a wasteful number, since it uses less digits than its factorization.

55859086264464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5818 (or 5796 counting only the distinct ones).

The product of its (nonzero) digits is 1990656000, while the sum is 72.

The spelling of 55859086264464 in words is "fifty-five trillion, eight hundred fifty-nine billion, eighty-six million, two hundred sixty-four thousand, four hundred sixty-four".