55153612800 has 1728 divisors, whose sum is σ = 248414100480. Its totient is φ = 11943936000.

The previous prime is 55153612783. The next prime is 55153612819. The reversal of 55153612800 is 821635155.

It is a happy number.

55153612800 is a `hidden beast` number, since 5 + 5 + 15 + 361 + 280 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1779148785 + ... + 1779148815.

It is an arithmetic number, because the mean of its divisors is an integer number (143758160).

Almost surely, 2^55153612800 is an apocalyptic number.

55153612800 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 55153612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124207050240).

55153612800 is an abundant number, since it is smaller than the sum of its proper divisors (193260487680).

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

55153612800 is a wasteful number, since it uses less digits than its factorization.

55153612800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 55153612800 in words is "fifty-five billion, one hundred fifty-three million, six hundred twelve thousand, eight hundred".