554976556992 has 672 divisors, whose sum is σ = 1947602651904. Its totient is φ = 154474905600.

The previous prime is 554976556961. The next prime is 554976557033. The reversal of 554976556992 is 299655679455.

554976556992 is a `hidden beast` number, since 5 + 54 + 9 + 7 + 6 + 5 + 569 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 554976556992.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 571551067 + ... + 571552037.

It is an arithmetic number, because the mean of its divisors is an integer number (2898218232).

Almost surely, 2^554976556992 is an apocalyptic number.

554976556992 is a gapful number since it is divisible by the number (52) 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 554976556992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973801325952).

554976556992 is an abundant number, since it is smaller than the sum of its proper divisors (1392626094912).

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

554976556992 is a wasteful number, since it uses less digits than its factorization.

554976556992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279 (or 1257 counting only the distinct ones).

The product of its digits is 918540000, while the sum is 72.

The spelling of 554976556992 in words is "five hundred fifty-four billion, nine hundred seventy-six million, five hundred fifty-six thousand, nine hundred ninety-two".