556363080000 has 3360 divisors, whose sum is σ = 2765860441344. Its totient is φ = 107495424000.

The previous prime is 556363079981. The next prime is 556363080019. The reversal of 556363080000 is 80363655.

It is an interprime number because it is at equal distance from previous prime (556363079981) and next prime (556363080019).

It is a tau number, because it is divible by the number of its divisors (3360).

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 479 ways as a sum of consecutive naturals, for example, 15036839982 + ... + 15036840018.

Almost surely, 2^556363080000 is an apocalyptic number.

556363080000 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 556363080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382930220672).

556363080000 is an abundant number, since it is smaller than the sum of its proper divisors (2209497361344).

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

556363080000 is a wasteful number, since it uses less digits than its factorization.

556363080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 556363080000 in words is "five hundred fifty-six billion, three hundred sixty-three million, eighty thousand".