55649203593984 has 4320 divisors, whose sum is σ = 242711031467520. Its totient is φ = 12344774492160.

The previous prime is 55649203593961. The next prime is 55649203594027. The reversal of 55649203593984 is 48939530294655.

55649203593984 is a `hidden beast` number, since 5 + 5 + 6 + 4 + 9 + 20 + 3 + 593 + 9 + 8 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 943206840547 + ... + 943206840605.

It is an arithmetic number, because the mean of its divisors is an integer number (56183109136).

Almost surely, 2^{55649203593984} is an apocalyptic number.

55649203593984 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 55649203593984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121355515733760).

55649203593984 is an abundant number, since it is smaller than the sum of its proper divisors (187061827873536).

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

55649203593984 is an equidigital number, since it uses as much as digits as its factorization.

55649203593984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1259712000, while the sum is 72.

The spelling of 55649203593984 in words is "fifty-five trillion, six hundred forty-nine billion, two hundred three million, five hundred ninety-three thousand, nine hundred eighty-four".