556153975784448 has 2816 divisors, whose sum is σ = 1902201573888000. Its totient is φ = 159713165574144.

The previous prime is 556153975784447. The next prime is 556153975784503. The reversal of 556153975784448 is 844487579351655.

556153975784448 is a `hidden beast` number, since 5 + 5 + 6 + 1 + 5 + 3 + 97 + 5 + 7 + 84 + 448 = 666.

It is not an unprimeable number, because it can be changed into a prime (556153975784447) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2881626817440 + ... + 2881626817632.

It is an arithmetic number, because the mean of its divisors is an integer number (675497718000).

Almost surely, 2^{556153975784448} is an apocalyptic number.

556153975784448 is a gapful number since it is divisible by the number (58) 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 556153975784448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951100786944000).

556153975784448 is an abundant number, since it is smaller than the sum of its proper divisors (1346047598103552).

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

556153975784448 is a wasteful number, since it uses less digits than its factorization.

556153975784448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 425 counting only the distinct ones).

The product of its digits is 20321280000, while the sum is 81.

The spelling of 556153975784448 in words is "five hundred fifty-six trillion, one hundred fifty-three billion, nine hundred seventy-five million, seven hundred eighty-four thousand, four hundred forty-eight".