55981094400 has 720 divisors, whose sum is σ = 249815225088. Its totient is φ = 11630592000.

The previous prime is 55981094381. The next prime is 55981094423. The reversal of 55981094400 is 449018955.

55981094400 is a `hidden beast` number, since 5 + 598 + 10 + 9 + 4 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×55981094400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8867245 + ... + 8873555.

Almost surely, 2^55981094400 is an apocalyptic number.

55981094400 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 55981094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124907612544).

55981094400 is an abundant number, since it is smaller than the sum of its proper divisors (193834130688).

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

55981094400 is a wasteful number, since it uses less digits than its factorization.

55981094400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6363 (or 6339 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 55981094400 in words is "fifty-five billion, nine hundred eighty-one million, ninety-four thousand, four hundred".