1553553741600 has 1728 divisors, whose sum is σ = 6807501792000. Its totient is φ = 332293570560.

The previous prime is 1553553741589. The next prime is 1553553741613. The reversal of 1553553741600 is 61473553551.

1553553741600 is a `hidden beast` number, since 1 + 5 + 5 + 3 + 5 + 5 + 37 + 4 + 1 + 600 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5302231054 + ... + 5302231346.

It is an arithmetic number, because the mean of its divisors is an integer number (3939526500).

Almost surely, 2^{1553553741600} is an apocalyptic number.

1553553741600 is a gapful number since it is divisible by the number (10) 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 1553553741600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3403750896000).

1553553741600 is an abundant number, since it is smaller than the sum of its proper divisors (5253948050400).

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

1553553741600 is a wasteful number, since it uses less digits than its factorization.

1553553741600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 945000, while the sum is 45.

It can be divided in two parts, 1553553 and 741600, that added together give a triangular number (2295153 = T₂₁₄₂).

The spelling of 1553553741600 in words is "one trillion, five hundred fifty-three billion, five hundred fifty-three million, seven hundred forty-one thousand, six hundred".