55893921408 has 384 divisors, whose sum is σ = 181725223680. Its totient is φ = 16361275392.

The previous prime is 55893921397. The next prime is 55893921443. The reversal of 55893921408 is 80412939855.

55893921408 is a `hidden beast` number, since 5 + 589 + 39 + 21 + 4 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90589516 + ... + 90590132.

It is an arithmetic number, because the mean of its divisors is an integer number (473242770).

Almost surely, 2^55893921408 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 55893921408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90862611840).

55893921408 is an abundant number, since it is smaller than the sum of its proper divisors (125831302272).

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

55893921408 is a wasteful number, since it uses less digits than its factorization.

55893921408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 55893921408 in words is "fifty-five billion, eight hundred ninety-three million, nine hundred twenty-one thousand, four hundred eight".