55349184000 has 640 divisors, whose sum is σ = 204068367360. Its totient is φ = 13197312000.

The previous prime is 55349183983. The next prime is 55349184029. The reversal of 55349184000 is 48194355.

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 55349184000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 154175821 + ... + 154176179.

It is an arithmetic number, because the mean of its divisors is an integer number (318856824).

Almost surely, 2^55349184000 is an apocalyptic number.

55349184000 is a gapful number since it is divisible by the number (50) 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 55349184000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102034183680).

55349184000 is an abundant number, since it is smaller than the sum of its proper divisors (148719183360).

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

55349184000 is a wasteful number, since it uses less digits than its factorization.

55349184000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 55349184000 in words is "fifty-five billion, three hundred forty-nine million, one hundred eighty-four thousand".