5551981257600 has 2304 divisors, whose sum is σ = 22752703733760. Its totient is φ = 1281982464000.

The previous prime is 5551981257577. The next prime is 5551981257689. The reversal of 5551981257600 is 67521891555.

5551981257600 is a `hidden beast` number, since 5 + 5 + 5 + 1 + 9 + 8 + 1 + 25 + 7 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 30673929510 + ... + 30673929690.

It is an arithmetic number, because the mean of its divisors is an integer number (9875305440).

Almost surely, 2^{5551981257600} is an apocalyptic number.

5551981257600 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 5551981257600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11376351866880).

5551981257600 is an abundant number, since it is smaller than the sum of its proper divisors (17200722476160).

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

5551981257600 is a wasteful number, since it uses less digits than its factorization.

5551981257600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 3780000, while the sum is 54.

The spelling of 5551981257600 in words is "five trillion, five hundred fifty-one billion, nine hundred eighty-one million, two hundred fifty-seven thousand, six hundred".