554547968087400 has 576 divisors, whose sum is σ = 2142416810476800. Its totient is φ = 125922026926080.

The previous prime is 554547968087371. The next prime is 554547968087401. The reversal of 554547968087400 is 4780869745455.

554547968087400 is a `hidden beast` number, since 5 + 5 + 4 + 5 + 479 + 6 + 80 + 8 + 74 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (554547968087401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1288601062 + ... + 1289031338.

It is an arithmetic number, because the mean of its divisors is an integer number (3719473629300).

Almost surely, 2^{554547968087400} is an apocalyptic number.

554547968087400 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 554547968087400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071208405238400).

554547968087400 is an abundant number, since it is smaller than the sum of its proper divisors (1587868842389400).

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

554547968087400 is a wasteful number, since it uses less digits than its factorization.

554547968087400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430978 (or 430966 counting only the distinct ones).

The product of its (nonzero) digits is 1354752000, while the sum is 72.

The spelling of 554547968087400 in words is "five hundred fifty-four trillion, five hundred forty-seven billion, nine hundred sixty-eight million, eighty-seven thousand, four hundred".